Finding the Third Proportional to 92,463 and 142,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,463 : 142,612.50 = 142,612.50 : x
2. Step 2: Convert to fraction form
   92,463/142,612.50 = 142,612.50/x
3. Step 3: Cross multiply
   92,463x = 142,612.50 × 142,612.50
4. Step 4: Simplify right side
   92,463x = 20,338,325,156.25
5. Step 5: Solve for x
   x = 20,338,325,156.25/92,463
6. Step 6: Final answer
   x = 219,961.77