Finding the Third Proportional to 78,912 and 118,080

Step by Step Solution

1. Step 1: Write the proportion equation
   78,912 : 118,080 = 118,080 : x
2. Step 2: Convert to fraction form
   78,912/118,080 = 118,080/x
3. Step 3: Cross multiply
   78,912x = 118,080 × 118,080
4. Step 4: Simplify right side
   78,912x = 13,942,886,400
5. Step 5: Solve for x
   x = 13,942,886,400/78,912
6. Step 6: Final answer
   x = 176,689.05