Finding the Third Proportional to 105,856 and 157,344

Step by Step Solution

1. Step 1: Write the proportion equation
   105,856 : 157,344 = 157,344 : x
2. Step 2: Convert to fraction form
   105,856/157,344 = 157,344/x
3. Step 3: Cross multiply
   105,856x = 157,344 × 157,344
4. Step 4: Simplify right side
   105,856x = 24,757,134,336
5. Step 5: Solve for x
   x = 24,757,134,336/105,856
6. Step 6: Final answer
   x = 233,875.59