Finding the Third Proportional to 103,982 and 227,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,982 : 227,354.50 = 227,354.50 : x
2. Step 2: Convert to fraction form
   103,982/227,354.50 = 227,354.50/x
3. Step 3: Cross multiply
   103,982x = 227,354.50 × 227,354.50
4. Step 4: Simplify right side
   103,982x = 51,690,068,670.25
5. Step 5: Solve for x
   x = 51,690,068,670.25/103,982
6. Step 6: Final answer
   x = 497,105.93