Finding the Third Proportional to 133,821 and 181,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,821 : 181,654.50 = 181,654.50 : x
2. Step 2: Convert to fraction form
   133,821/181,654.50 = 181,654.50/x
3. Step 3: Cross multiply
   133,821x = 181,654.50 × 181,654.50
4. Step 4: Simplify right side
   133,821x = 32,998,357,370.25
5. Step 5: Solve for x
   x = 32,998,357,370.25/133,821
6. Step 6: Final answer
   x = 246,585.79