Finding the Third Proportional to 181,623 and 283,472.50

Step by Step Solution

1. Step 1: Write the proportion equation
   181,623 : 283,472.50 = 283,472.50 : x
2. Step 2: Convert to fraction form
   181,623/283,472.50 = 283,472.50/x
3. Step 3: Cross multiply
   181,623x = 283,472.50 × 283,472.50
4. Step 4: Simplify right side
   181,623x = 80,356,658,256.25
5. Step 5: Solve for x
   x = 80,356,658,256.25/181,623
6. Step 6: Final answer
   x = 442,436.58