Finding the Third Proportional to 105,278 and 157,419

Step by Step Solution

1. Step 1: Write the proportion equation
   105,278 : 157,419 = 157,419 : x
2. Step 2: Convert to fraction form
   105,278/157,419 = 157,419/x
3. Step 3: Cross multiply
   105,278x = 157,419 × 157,419
4. Step 4: Simplify right side
   105,278x = 24,780,741,561
5. Step 5: Solve for x
   x = 24,780,741,561/105,278
6. Step 6: Final answer
   x = 235,383.86