Finding the Third Proportional to 112,153.50 and 171,760.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,153.50 : 171,760.50 = 171,760.50 : x
2. Step 2: Convert to fraction form
   112,153.50/171,760.50 = 171,760.50/x
3. Step 3: Cross multiply
   112,153.50x = 171,760.50 × 171,760.50
4. Step 4: Simplify right side
   112,153.50x = 29,501,669,360.25
5. Step 5: Solve for x
   x = 29,501,669,360.25/112,153.50
6. Step 6: Final answer
   x = 263,047.25