Finding the Third Proportional to 118,816 and 172,876

Step by Step Solution

1. Step 1: Write the proportion equation
   118,816 : 172,876 = 172,876 : x
2. Step 2: Convert to fraction form
   118,816/172,876 = 172,876/x
3. Step 3: Cross multiply
   118,816x = 172,876 × 172,876
4. Step 4: Simplify right side
   118,816x = 29,886,111,376
5. Step 5: Solve for x
   x = 29,886,111,376/118,816
6. Step 6: Final answer
   x = 251,532.72