Finding the Third Proportional to 78,480 and 111,800

Step by Step Solution

1. Step 1: Write the proportion equation
   78,480 : 111,800 = 111,800 : x
2. Step 2: Convert to fraction form
   78,480/111,800 = 111,800/x
3. Step 3: Cross multiply
   78,480x = 111,800 × 111,800
4. Step 4: Simplify right side
   78,480x = 12,499,240,000
5. Step 5: Solve for x
   x = 12,499,240,000/78,480
6. Step 6: Final answer
   x = 159,266.56