Finding the Third Proportional to 123,271 and 266,184

Step by Step Solution

1. Step 1: Write the proportion equation
   123,271 : 266,184 = 266,184 : x
2. Step 2: Convert to fraction form
   123,271/266,184 = 266,184/x
3. Step 3: Cross multiply
   123,271x = 266,184 × 266,184
4. Step 4: Simplify right side
   123,271x = 70,853,921,856
5. Step 5: Solve for x
   x = 70,853,921,856/123,271
6. Step 6: Final answer
   x = 574,781.76