Finding the Third Proportional to 133,784 and 183,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,784 : 183,452.50 = 183,452.50 : x
2. Step 2: Convert to fraction form
   133,784/183,452.50 = 183,452.50/x
3. Step 3: Cross multiply
   133,784x = 183,452.50 × 183,452.50
4. Step 4: Simplify right side
   133,784x = 33,654,819,756.25
5. Step 5: Solve for x
   x = 33,654,819,756.25/133,784
6. Step 6: Final answer
   x = 251,560.87