Finding the Third Proportional to 105,914 and 157,046

Step by Step Solution

1. Step 1: Write the proportion equation
   105,914 : 157,046 = 157,046 : x
2. Step 2: Convert to fraction form
   105,914/157,046 = 157,046/x
3. Step 3: Cross multiply
   105,914x = 157,046 × 157,046
4. Step 4: Simplify right side
   105,914x = 24,663,446,116
5. Step 5: Solve for x
   x = 24,663,446,116/105,914
6. Step 6: Final answer
   x = 232,862.95