Finding the Third Proportional to 83,447.72 and 185,553.28

Step by Step Solution

1. Step 1: Write the proportion equation
   83,447.72 : 185,553.28 = 185,553.28 : x
2. Step 2: Convert to fraction form
   83,447.72/185,553.28 = 185,553.28/x
3. Step 3: Cross multiply
   83,447.72x = 185,553.28 × 185,553.28
4. Step 4: Simplify right side
   83,447.72x = 34,430,020,182.64
5. Step 5: Solve for x
   x = 34,430,020,182.64/83,447.72
6. Step 6: Final answer
   x = 412,593.91