Finding the Third Proportional to 566,315,466,417 and 1,213,408,020,834

Step by Step Solution

1. Step 1: Write the proportion equation
   566,315,466,417 : 1,213,408,020,834 = 1,213,408,020,834 : x
2. Step 2: Convert to fraction form
   566,315,466,417/1,213,408,020,834 = 1,213,408,020,834/x
3. Step 3: Cross multiply
   566,315,466,417x = 1,213,408,020,834 × 1,213,408,020,834
4. Step 4: Simplify right side
   566,315,466,417x = 1,472,359,025,024,284,875,554,816
5. Step 5: Solve for x
   x = 1,472,359,025,024,284,875,554,816/566,315,466,417
6. Step 6: Final answer
   x = 2,599,891,954,813.98