Finding the Third Proportional to 65,083.50 and 131,977.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,083.50 : 131,977.50 = 131,977.50 : x
2. Step 2: Convert to fraction form
   65,083.50/131,977.50 = 131,977.50/x
3. Step 3: Cross multiply
   65,083.50x = 131,977.50 × 131,977.50
4. Step 4: Simplify right side
   65,083.50x = 17,418,060,506.25
5. Step 5: Solve for x
   x = 17,418,060,506.25/65,083.50
6. Step 6: Final answer
   x = 267,626.36