Finding the Third Proportional to 111,787.50 and 166,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,787.50 : 166,162.50 = 166,162.50 : x
2. Step 2: Convert to fraction form
   111,787.50/166,162.50 = 166,162.50/x
3. Step 3: Cross multiply
   111,787.50x = 166,162.50 × 166,162.50
4. Step 4: Simplify right side
   111,787.50x = 27,609,976,406.25
5. Step 5: Solve for x
   x = 27,609,976,406.25/111,787.50
6. Step 6: Final answer
   x = 246,986.26