Finding the Third Proportional to 56,769 and 85,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,769 : 85,942.50 = 85,942.50 : x
2. Step 2: Convert to fraction form
   56,769/85,942.50 = 85,942.50/x
3. Step 3: Cross multiply
   56,769x = 85,942.50 × 85,942.50
4. Step 4: Simplify right side
   56,769x = 7,386,113,306.25
5. Step 5: Solve for x
   x = 7,386,113,306.25/56,769
6. Step 6: Final answer
   x = 130,108.22