Finding the Third Proportional to 78,632 and 118,380

Step by Step Solution

1. Step 1: Write the proportion equation
   78,632 : 118,380 = 118,380 : x
2. Step 2: Convert to fraction form
   78,632/118,380 = 118,380/x
3. Step 3: Cross multiply
   78,632x = 118,380 × 118,380
4. Step 4: Simplify right side
   78,632x = 14,013,824,400
5. Step 5: Solve for x
   x = 14,013,824,400/78,632
6. Step 6: Final answer
   x = 178,220.37