Finding the Third Proportional to 56,142 and 86,274

Step by Step Solution

1. Step 1: Write the proportion equation
   56,142 : 86,274 = 86,274 : x
2. Step 2: Convert to fraction form
   56,142/86,274 = 86,274/x
3. Step 3: Cross multiply
   56,142x = 86,274 × 86,274
4. Step 4: Simplify right side
   56,142x = 7,443,203,076
5. Step 5: Solve for x
   x = 7,443,203,076/56,142
6. Step 6: Final answer
   x = 132,578.16