Finding the Third Proportional to 76,567.50 and 114,934.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,567.50 : 114,934.50 = 114,934.50 : x
2. Step 2: Convert to fraction form
   76,567.50/114,934.50 = 114,934.50/x
3. Step 3: Cross multiply
   76,567.50x = 114,934.50 × 114,934.50
4. Step 4: Simplify right side
   76,567.50x = 13,209,939,290.25
5. Step 5: Solve for x
   x = 13,209,939,290.25/76,567.50
6. Step 6: Final answer
   x = 172,526.72