Finding the Third Proportional to 76,860 and 114,169.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,860 : 114,169.50 = 114,169.50 : x
2. Step 2: Convert to fraction form
   76,860/114,169.50 = 114,169.50/x
3. Step 3: Cross multiply
   76,860x = 114,169.50 × 114,169.50
4. Step 4: Simplify right side
   76,860x = 13,034,674,730.25
5. Step 5: Solve for x
   x = 13,034,674,730.25/76,860
6. Step 6: Final answer
   x = 169,589.84