Finding the Third Proportional to 78,179 and 168,522

Step by Step Solution

1. Step 1: Write the proportion equation
   78,179 : 168,522 = 168,522 : x
2. Step 2: Convert to fraction form
   78,179/168,522 = 168,522/x
3. Step 3: Cross multiply
   78,179x = 168,522 × 168,522
4. Step 4: Simplify right side
   78,179x = 28,399,664,484
5. Step 5: Solve for x
   x = 28,399,664,484/78,179
6. Step 6: Final answer
   x = 363,264.62