Finding the Third Proportional to 57,462 and 86,262

Step by Step Solution

1. Step 1: Write the proportion equation
   57,462 : 86,262 = 86,262 : x
2. Step 2: Convert to fraction form
   57,462/86,262 = 86,262/x
3. Step 3: Cross multiply
   57,462x = 86,262 × 86,262
4. Step 4: Simplify right side
   57,462x = 7,441,132,644
5. Step 5: Solve for x
   x = 7,441,132,644/57,462
6. Step 6: Final answer
   x = 129,496.58