Finding the Third Proportional to 76,059 and 110,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,059 : 110,686.50 = 110,686.50 : x
2. Step 2: Convert to fraction form
   76,059/110,686.50 = 110,686.50/x
3. Step 3: Cross multiply
   76,059x = 110,686.50 × 110,686.50
4. Step 4: Simplify right side
   76,059x = 12,251,501,282.25
5. Step 5: Solve for x
   x = 12,251,501,282.25/76,059
6. Step 6: Final answer
   x = 161,078.92