Finding the Third Proportional to 123,770 and 254,098

Step by Step Solution

1. Step 1: Write the proportion equation
   123,770 : 254,098 = 254,098 : x
2. Step 2: Convert to fraction form
   123,770/254,098 = 254,098/x
3. Step 3: Cross multiply
   123,770x = 254,098 × 254,098
4. Step 4: Simplify right side
   123,770x = 64,565,793,604
5. Step 5: Solve for x
   x = 64,565,793,604/123,770
6. Step 6: Final answer
   x = 521,659.48