Finding the Third Proportional to 78,769 and 172,850

Step by Step Solution

1. Step 1: Write the proportion equation
   78,769 : 172,850 = 172,850 : x
2. Step 2: Convert to fraction form
   78,769/172,850 = 172,850/x
3. Step 3: Cross multiply
   78,769x = 172,850 × 172,850
4. Step 4: Simplify right side
   78,769x = 29,877,122,500
5. Step 5: Solve for x
   x = 29,877,122,500/78,769
6. Step 6: Final answer
   x = 379,300.52