Finding the Third Proportional to 78,362 and 169,846

Step by Step Solution

1. Step 1: Write the proportion equation
   78,362 : 169,846 = 169,846 : x
2. Step 2: Convert to fraction form
   78,362/169,846 = 169,846/x
3. Step 3: Cross multiply
   78,362x = 169,846 × 169,846
4. Step 4: Simplify right side
   78,362x = 28,847,663,716
5. Step 5: Solve for x
   x = 28,847,663,716/78,362
6. Step 6: Final answer
   x = 368,133.33