Finding the Third Proportional to 165,769.50 and 254,952

Step by Step Solution

1. Step 1: Write the proportion equation
   165,769.50 : 254,952 = 254,952 : x
2. Step 2: Convert to fraction form
   165,769.50/254,952 = 254,952/x
3. Step 3: Cross multiply
   165,769.50x = 254,952 × 254,952
4. Step 4: Simplify right side
   165,769.50x = 65,000,522,304
5. Step 5: Solve for x
   x = 65,000,522,304/165,769.50
6. Step 6: Final answer
   x = 392,113.88