Finding the Third Proportional to 78,822 and 169,308

Step by Step Solution

1. Step 1: Write the proportion equation
   78,822 : 169,308 = 169,308 : x
2. Step 2: Convert to fraction form
   78,822/169,308 = 169,308/x
3. Step 3: Cross multiply
   78,822x = 169,308 × 169,308
4. Step 4: Simplify right side
   78,822x = 28,665,198,864
5. Step 5: Solve for x
   x = 28,665,198,864/78,822
6. Step 6: Final answer
   x = 363,670.03