Finding the Third Proportional to 56,902 and 86,140

Step by Step Solution

1. Step 1: Write the proportion equation
   56,902 : 86,140 = 86,140 : x
2. Step 2: Convert to fraction form
   56,902/86,140 = 86,140/x
3. Step 3: Cross multiply
   56,902x = 86,140 × 86,140
4. Step 4: Simplify right side
   56,902x = 7,420,099,600
5. Step 5: Solve for x
   x = 7,420,099,600/56,902
6. Step 6: Final answer
   x = 130,401.38