Finding the Third Proportional to 78,906 and 172,270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,906 : 172,270.50 = 172,270.50 : x
2. Step 2: Convert to fraction form
   78,906/172,270.50 = 172,270.50/x
3. Step 3: Cross multiply
   78,906x = 172,270.50 × 172,270.50
4. Step 4: Simplify right side
   78,906x = 29,677,125,170.25
5. Step 5: Solve for x
   x = 29,677,125,170.25/78,906
6. Step 6: Final answer
   x = 376,107.33