Finding the Third Proportional to 101,826.75 and 157,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,826.75 : 157,510.50 = 157,510.50 : x
2. Step 2: Convert to fraction form
   101,826.75/157,510.50 = 157,510.50/x
3. Step 3: Cross multiply
   101,826.75x = 157,510.50 × 157,510.50
4. Step 4: Simplify right side
   101,826.75x = 24,809,557,610.25
5. Step 5: Solve for x
   x = 24,809,557,610.25/101,826.75
6. Step 6: Final answer
   x = 243,644.79