Finding the Third Proportional to 105,943.50 and 157,083

Step by Step Solution

1. Step 1: Write the proportion equation
   105,943.50 : 157,083 = 157,083 : x
2. Step 2: Convert to fraction form
   105,943.50/157,083 = 157,083/x
3. Step 3: Cross multiply
   105,943.50x = 157,083 × 157,083
4. Step 4: Simplify right side
   105,943.50x = 24,675,068,889
5. Step 5: Solve for x
   x = 24,675,068,889/105,943.50
6. Step 6: Final answer
   x = 232,907.81