Finding the Third Proportional to 57,294 and 123,364

Step by Step Solution

1. Step 1: Write the proportion equation
   57,294 : 123,364 = 123,364 : x
2. Step 2: Convert to fraction form
   57,294/123,364 = 123,364/x
3. Step 3: Cross multiply
   57,294x = 123,364 × 123,364
4. Step 4: Simplify right side
   57,294x = 15,218,676,496
5. Step 5: Solve for x
   x = 15,218,676,496/57,294
6. Step 6: Final answer
   x = 265,624.26