Finding the Third Proportional to 181,641 and 283,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,641 : 283,498.50 = 283,498.50 : x
2. Step 2: Convert to fraction form
   181,641/283,498.50 = 283,498.50/x
3. Step 3: Cross multiply
   181,641x = 283,498.50 × 283,498.50
4. Step 4: Simplify right side
   181,641x = 80,371,399,502.25
5. Step 5: Solve for x
   x = 80,371,399,502.25/181,641
6. Step 6: Final answer
   x = 442,473.89