Finding the Third Proportional to 78,854 and 118,164

Step by Step Solution

1. Step 1: Write the proportion equation
   78,854 : 118,164 = 118,164 : x
2. Step 2: Convert to fraction form
   78,854/118,164 = 118,164/x
3. Step 3: Cross multiply
   78,854x = 118,164 × 118,164
4. Step 4: Simplify right side
   78,854x = 13,962,730,896
5. Step 5: Solve for x
   x = 13,962,730,896/78,854
6. Step 6: Final answer
   x = 177,070.67