Finding the Third Proportional to 123,156 and 265,530

Step by Step Solution

1. Step 1: Write the proportion equation
   123,156 : 265,530 = 265,530 : x
2. Step 2: Convert to fraction form
   123,156/265,530 = 265,530/x
3. Step 3: Cross multiply
   123,156x = 265,530 × 265,530
4. Step 4: Simplify right side
   123,156x = 70,506,180,900
5. Step 5: Solve for x
   x = 70,506,180,900/123,156
6. Step 6: Final answer
   x = 572,494.89