Finding the Third Proportional to 78,561 and 169,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,561 : 169,672.50 = 169,672.50 : x
2. Step 2: Convert to fraction form
   78,561/169,672.50 = 169,672.50/x
3. Step 3: Cross multiply
   78,561x = 169,672.50 × 169,672.50
4. Step 4: Simplify right side
   78,561x = 28,788,757,256.25
5. Step 5: Solve for x
   x = 28,788,757,256.25/78,561
6. Step 6: Final answer
   x = 366,451.00