Finding the Third Proportional to 181,693 and 254,606.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,693 : 254,606.50 = 254,606.50 : x
2. Step 2: Convert to fraction form
   181,693/254,606.50 = 254,606.50/x
3. Step 3: Cross multiply
   181,693x = 254,606.50 × 254,606.50
4. Step 4: Simplify right side
   181,693x = 64,824,469,842.25
5. Step 5: Solve for x
   x = 64,824,469,842.25/181,693
6. Step 6: Final answer
   x = 356,780.23