Finding the Third Proportional to 123,142 and 265,117

Step by Step Solution

1. Step 1: Write the proportion equation
   123,142 : 265,117 = 265,117 : x
2. Step 2: Convert to fraction form
   123,142/265,117 = 265,117/x
3. Step 3: Cross multiply
   123,142x = 265,117 × 265,117
4. Step 4: Simplify right side
   123,142x = 70,287,023,689
5. Step 5: Solve for x
   x = 70,287,023,689/123,142
6. Step 6: Final answer
   x = 570,780.27