Finding the Third Proportional to 133,065 and 199,597.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,065 : 199,597.50 = 199,597.50 : x
2. Step 2: Convert to fraction form
   133,065/199,597.50 = 199,597.50/x
3. Step 3: Cross multiply
   133,065x = 199,597.50 × 199,597.50
4. Step 4: Simplify right side
   133,065x = 39,839,162,006.25
5. Step 5: Solve for x
   x = 39,839,162,006.25/133,065
6. Step 6: Final answer
   x = 299,396.25