Finding the Third Proportional to 90,561 and 133,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,561 : 133,066.50 = 133,066.50 : x
2. Step 2: Convert to fraction form
   90,561/133,066.50 = 133,066.50/x
3. Step 3: Cross multiply
   90,561x = 133,066.50 × 133,066.50
4. Step 4: Simplify right side
   90,561x = 17,706,693,422.25
5. Step 5: Solve for x
   x = 17,706,693,422.25/90,561
6. Step 6: Final answer
   x = 195,522.28