Finding the Third Proportional to 165,139.50 and 229,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,139.50 : 229,780.50 = 229,780.50 : x
2. Step 2: Convert to fraction form
   165,139.50/229,780.50 = 229,780.50/x
3. Step 3: Cross multiply
   165,139.50x = 229,780.50 × 229,780.50
4. Step 4: Simplify right side
   165,139.50x = 52,799,078,180.25
5. Step 5: Solve for x
   x = 52,799,078,180.25/165,139.50
6. Step 6: Final answer
   x = 319,724.10