Finding the Third Proportional to 78,285 and 111,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,285 : 111,912.50 = 111,912.50 : x
2. Step 2: Convert to fraction form
   78,285/111,912.50 = 111,912.50/x
3. Step 3: Cross multiply
   78,285x = 111,912.50 × 111,912.50
4. Step 4: Simplify right side
   78,285x = 12,524,407,656.25
5. Step 5: Solve for x
   x = 12,524,407,656.25/78,285
6. Step 6: Final answer
   x = 159,984.77