Finding the Third Proportional to 46,359 and 101,466

Step by Step Solution

1. Step 1: Write the proportion equation
   46,359 : 101,466 = 101,466 : x
2. Step 2: Convert to fraction form
   46,359/101,466 = 101,466/x
3. Step 3: Cross multiply
   46,359x = 101,466 × 101,466
4. Step 4: Simplify right side
   46,359x = 10,295,349,156
5. Step 5: Solve for x
   x = 10,295,349,156/46,359
6. Step 6: Final answer
   x = 222,078.76