Finding the Third Proportional to 78,240 and 111,480

Step by Step Solution

1. Step 1: Write the proportion equation
   78,240 : 111,480 = 111,480 : x
2. Step 2: Convert to fraction form
   78,240/111,480 = 111,480/x
3. Step 3: Cross multiply
   78,240x = 111,480 × 111,480
4. Step 4: Simplify right side
   78,240x = 12,427,790,400
5. Step 5: Solve for x
   x = 12,427,790,400/78,240
6. Step 6: Final answer
   x = 158,841.90