Finding the Third Proportional to 76,626 and 115,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,626 : 115,042.50 = 115,042.50 : x
2. Step 2: Convert to fraction form
   76,626/115,042.50 = 115,042.50/x
3. Step 3: Cross multiply
   76,626x = 115,042.50 × 115,042.50
4. Step 4: Simplify right side
   76,626x = 13,234,776,806.25
5. Step 5: Solve for x
   x = 13,234,776,806.25/76,626
6. Step 6: Final answer
   x = 172,719.14