Finding the Third Proportional to 76,837.50 and 114,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,837.50 : 114,142.50 = 114,142.50 : x
2. Step 2: Convert to fraction form
   76,837.50/114,142.50 = 114,142.50/x
3. Step 3: Cross multiply
   76,837.50x = 114,142.50 × 114,142.50
4. Step 4: Simplify right side
   76,837.50x = 13,028,510,306.25
5. Step 5: Solve for x
   x = 13,028,510,306.25/76,837.50
6. Step 6: Final answer
   x = 169,559.27