Finding the Third Proportional to 133,304.50 and 204,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,304.50 : 204,411.50 = 204,411.50 : x
2. Step 2: Convert to fraction form
   133,304.50/204,411.50 = 204,411.50/x
3. Step 3: Cross multiply
   133,304.50x = 204,411.50 × 204,411.50
4. Step 4: Simplify right side
   133,304.50x = 41,784,061,332.25
5. Step 5: Solve for x
   x = 41,784,061,332.25/133,304.50
6. Step 6: Final answer
   x = 313,448.24