Finding the Third Proportional to 78,902 and 169,833

Step by Step Solution

1. Step 1: Write the proportion equation
   78,902 : 169,833 = 169,833 : x
2. Step 2: Convert to fraction form
   78,902/169,833 = 169,833/x
3. Step 3: Cross multiply
   78,902x = 169,833 × 169,833
4. Step 4: Simplify right side
   78,902x = 28,843,247,889
5. Step 5: Solve for x
   x = 28,843,247,889/78,902
6. Step 6: Final answer
   x = 365,557.88