Finding the Third Proportional to 103,978 and 157,434

Step by Step Solution

1. Step 1: Write the proportion equation
   103,978 : 157,434 = 157,434 : x
2. Step 2: Convert to fraction form
   103,978/157,434 = 157,434/x
3. Step 3: Cross multiply
   103,978x = 157,434 × 157,434
4. Step 4: Simplify right side
   103,978x = 24,785,464,356
5. Step 5: Solve for x
   x = 24,785,464,356/103,978
6. Step 6: Final answer
   x = 238,372.20