Finding the Third Proportional to 78,280 and 111,908

Step by Step Solution

1. Step 1: Write the proportion equation
   78,280 : 111,908 = 111,908 : x
2. Step 2: Convert to fraction form
   78,280/111,908 = 111,908/x
3. Step 3: Cross multiply
   78,280x = 111,908 × 111,908
4. Step 4: Simplify right side
   78,280x = 12,523,400,464
5. Step 5: Solve for x
   x = 12,523,400,464/78,280
6. Step 6: Final answer
   x = 159,982.12