Finding the Third Proportional to 105,912 and 157,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,912 : 157,043.50 = 157,043.50 : x
2. Step 2: Convert to fraction form
   105,912/157,043.50 = 157,043.50/x
3. Step 3: Cross multiply
   105,912x = 157,043.50 × 157,043.50
4. Step 4: Simplify right side
   105,912x = 24,662,660,892.25
5. Step 5: Solve for x
   x = 24,662,660,892.25/105,912
6. Step 6: Final answer
   x = 232,859.93