Finding the Third Proportional to 78,557 and 169,672

Step by Step Solution

1. Step 1: Write the proportion equation
   78,557 : 169,672 = 169,672 : x
2. Step 2: Convert to fraction form
   78,557/169,672 = 169,672/x
3. Step 3: Cross multiply
   78,557x = 169,672 × 169,672
4. Step 4: Simplify right side
   78,557x = 28,788,587,584
5. Step 5: Solve for x
   x = 28,788,587,584/78,557
6. Step 6: Final answer
   x = 366,467.50