Finding the Third Proportional to 78,400 and 118,320

Step by Step Solution

1. Step 1: Write the proportion equation
   78,400 : 118,320 = 118,320 : x
2. Step 2: Convert to fraction form
   78,400/118,320 = 118,320/x
3. Step 3: Cross multiply
   78,400x = 118,320 × 118,320
4. Step 4: Simplify right side
   78,400x = 13,999,622,400
5. Step 5: Solve for x
   x = 13,999,622,400/78,400
6. Step 6: Final answer
   x = 178,566.61