Finding the Third Proportional to 105,940.41 and 157,077.98

Step by Step Solution

1. Step 1: Write the proportion equation
   105,940.41 : 157,077.98 = 157,077.98 : x
2. Step 2: Convert to fraction form
   105,940.41/157,077.98 = 157,077.98/x
3. Step 3: Cross multiply
   105,940.41x = 157,077.98 × 157,077.98
4. Step 4: Simplify right side
   105,940.41x = 24,673,493,175.31
5. Step 5: Solve for x
   x = 24,673,493,175.31/105,940.41
6. Step 6: Final answer
   x = 232,899.74