Finding the Third Proportional to 105,324 and 157,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,324 : 157,822.50 = 157,822.50 : x
2. Step 2: Convert to fraction form
   105,324/157,822.50 = 157,822.50/x
3. Step 3: Cross multiply
   105,324x = 157,822.50 × 157,822.50
4. Step 4: Simplify right side
   105,324x = 24,907,941,506.25
5. Step 5: Solve for x
   x = 24,907,941,506.25/105,324
6. Step 6: Final answer
   x = 236,488.75