Finding the Third Proportional to 78,876 and 118,002

Step by Step Solution

1. Step 1: Write the proportion equation
   78,876 : 118,002 = 118,002 : x
2. Step 2: Convert to fraction form
   78,876/118,002 = 118,002/x
3. Step 3: Cross multiply
   78,876x = 118,002 × 118,002
4. Step 4: Simplify right side
   78,876x = 13,924,472,004
5. Step 5: Solve for x
   x = 13,924,472,004/78,876
6. Step 6: Final answer
   x = 176,536.23