Finding the Third Proportional to 69,772.50 and 111,390.75

Step by Step Solution

1. Step 1: Write the proportion equation
   69,772.50 : 111,390.75 = 111,390.75 : x
2. Step 2: Convert to fraction form
   69,772.50/111,390.75 = 111,390.75/x
3. Step 3: Cross multiply
   69,772.50x = 111,390.75 × 111,390.75
4. Step 4: Simplify right side
   69,772.50x = 12,407,899,185.56
5. Step 5: Solve for x
   x = 12,407,899,185.56/69,772.50
6. Step 6: Final answer
   x = 177,833.66