Finding the Third Proportional to 105,934 and 157,076

Step by Step Solution

1. Step 1: Write the proportion equation
   105,934 : 157,076 = 157,076 : x
2. Step 2: Convert to fraction form
   105,934/157,076 = 157,076/x
3. Step 3: Cross multiply
   105,934x = 157,076 × 157,076
4. Step 4: Simplify right side
   105,934x = 24,672,869,776
5. Step 5: Solve for x
   x = 24,672,869,776/105,934
6. Step 6: Final answer
   x = 232,907.94