Finding the Third Proportional to 123,134 and 265,102

Step by Step Solution

1. Step 1: Write the proportion equation
   123,134 : 265,102 = 265,102 : x
2. Step 2: Convert to fraction form
   123,134/265,102 = 265,102/x
3. Step 3: Cross multiply
   123,134x = 265,102 × 265,102
4. Step 4: Simplify right side
   123,134x = 70,279,070,404
5. Step 5: Solve for x
   x = 70,279,070,404/123,134
6. Step 6: Final answer
   x = 570,752.76