Finding the Third Proportional to 90,413 and 133,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,413 : 133,776.50 = 133,776.50 : x
2. Step 2: Convert to fraction form
   90,413/133,776.50 = 133,776.50/x
3. Step 3: Cross multiply
   90,413x = 133,776.50 × 133,776.50
4. Step 4: Simplify right side
   90,413x = 17,896,151,952.25
5. Step 5: Solve for x
   x = 17,896,151,952.25/90,413
6. Step 6: Final answer
   x = 197,937.82