Finding the Third Proportional to 108,088 and 172,672

Step by Step Solution

1. Step 1: Write the proportion equation
   108,088 : 172,672 = 172,672 : x
2. Step 2: Convert to fraction form
   108,088/172,672 = 172,672/x
3. Step 3: Cross multiply
   108,088x = 172,672 × 172,672
4. Step 4: Simplify right side
   108,088x = 29,815,619,584
5. Step 5: Solve for x
   x = 29,815,619,584/108,088
6. Step 6: Final answer
   x = 275,845.79