Finding the Third Proportional to 65,785.50 and 142,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,785.50 : 142,654.50 = 142,654.50 : x
2. Step 2: Convert to fraction form
   65,785.50/142,654.50 = 142,654.50/x
3. Step 3: Cross multiply
   65,785.50x = 142,654.50 × 142,654.50
4. Step 4: Simplify right side
   65,785.50x = 20,350,306,370.25
5. Step 5: Solve for x
   x = 20,350,306,370.25/65,785.50
6. Step 6: Final answer
   x = 309,343.34