Finding the Third Proportional to 78,666 and 169,896

Step by Step Solution

1. Step 1: Write the proportion equation
   78,666 : 169,896 = 169,896 : x
2. Step 2: Convert to fraction form
   78,666/169,896 = 169,896/x
3. Step 3: Cross multiply
   78,666x = 169,896 × 169,896
4. Step 4: Simplify right side
   78,666x = 28,864,650,816
5. Step 5: Solve for x
   x = 28,864,650,816/78,666
6. Step 6: Final answer
   x = 366,926.64