Finding the Third Proportional to 133,022 and 195,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,022 : 195,643.50 = 195,643.50 : x
2. Step 2: Convert to fraction form
   133,022/195,643.50 = 195,643.50/x
3. Step 3: Cross multiply
   133,022x = 195,643.50 × 195,643.50
4. Step 4: Simplify right side
   133,022x = 38,276,379,092.25
5. Step 5: Solve for x
   x = 38,276,379,092.25/133,022
6. Step 6: Final answer
   x = 287,744.73