Finding the Third Proportional to 78,764 and 172,838

Step by Step Solution

1. Step 1: Write the proportion equation
   78,764 : 172,838 = 172,838 : x
2. Step 2: Convert to fraction form
   78,764/172,838 = 172,838/x
3. Step 3: Cross multiply
   78,764x = 172,838 × 172,838
4. Step 4: Simplify right side
   78,764x = 29,872,974,244
5. Step 5: Solve for x
   x = 29,872,974,244/78,764
6. Step 6: Final answer
   x = 379,271.93