Finding the Third Proportional to 65,542.50 and 141,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,542.50 : 141,796.50 = 141,796.50 : x
2. Step 2: Convert to fraction form
   65,542.50/141,796.50 = 141,796.50/x
3. Step 3: Cross multiply
   65,542.50x = 141,796.50 × 141,796.50
4. Step 4: Simplify right side
   65,542.50x = 20,106,247,412.25
5. Step 5: Solve for x
   x = 20,106,247,412.25/65,542.50
6. Step 6: Final answer
   x = 306,766.56