Finding the Third Proportional to 566,315,466,432 and 1,213,408,020,864

Step by Step Solution

1. Step 1: Write the proportion equation
   566,315,466,432 : 1,213,408,020,864 = 1,213,408,020,864 : x
2. Step 2: Convert to fraction form
   566,315,466,432/1,213,408,020,864 = 1,213,408,020,864/x
3. Step 3: Cross multiply
   566,315,466,432x = 1,213,408,020,864 × 1,213,408,020,864
4. Step 4: Simplify right side
   566,315,466,432x = 1,472,359,025,097,089,403,060,224
5. Step 5: Solve for x
   x = 1,472,359,025,097,089,403,060,224/566,315,466,432
6. Step 6: Final answer
   x = 2,599,891,954,873.67