Finding the Third Proportional to 123,330 and 265,374

Step by Step Solution

1. Step 1: Write the proportion equation
   123,330 : 265,374 = 265,374 : x
2. Step 2: Convert to fraction form
   123,330/265,374 = 265,374/x
3. Step 3: Cross multiply
   123,330x = 265,374 × 265,374
4. Step 4: Simplify right side
   123,330x = 70,423,359,876
5. Step 5: Solve for x
   x = 70,423,359,876/123,330
6. Step 6: Final answer
   x = 571,015.65