Finding the Third Proportional to 105,924 and 157,061

Step by Step Solution

1. Step 1: Write the proportion equation
   105,924 : 157,061 = 157,061 : x
2. Step 2: Convert to fraction form
   105,924/157,061 = 157,061/x
3. Step 3: Cross multiply
   105,924x = 157,061 × 157,061
4. Step 4: Simplify right side
   105,924x = 24,668,157,721
5. Step 5: Solve for x
   x = 24,668,157,721/105,924
6. Step 6: Final answer
   x = 232,885.44