Finding the Third Proportional to 57,698 and 123,700

Step by Step Solution

1. Step 1: Write the proportion equation
   57,698 : 123,700 = 123,700 : x
2. Step 2: Convert to fraction form
   57,698/123,700 = 123,700/x
3. Step 3: Cross multiply
   57,698x = 123,700 × 123,700
4. Step 4: Simplify right side
   57,698x = 15,301,690,000
5. Step 5: Solve for x
   x = 15,301,690,000/57,698
6. Step 6: Final answer
   x = 265,203.13