Finding the Third Proportional to 65,347.50 and 141,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,347.50 : 141,757.50 = 141,757.50 : x
2. Step 2: Convert to fraction form
   65,347.50/141,757.50 = 141,757.50/x
3. Step 3: Cross multiply
   65,347.50x = 141,757.50 × 141,757.50
4. Step 4: Simplify right side
   65,347.50x = 20,095,188,806.25
5. Step 5: Solve for x
   x = 20,095,188,806.25/65,347.50
6. Step 6: Final answer
   x = 307,512.74