Finding the Third Proportional to 79,563 and 181,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   79,563 : 181,429.50 = 181,429.50 : x
2. Step 2: Convert to fraction form
   79,563/181,429.50 = 181,429.50/x
3. Step 3: Cross multiply
   79,563x = 181,429.50 × 181,429.50
4. Step 4: Simplify right side
   79,563x = 32,916,663,470.25
5. Step 5: Solve for x
   x = 32,916,663,470.25/79,563
6. Step 6: Final answer
   x = 413,718.23