Finding the Third Proportional to 78,817 and 172,946

Step by Step Solution

1. Step 1: Write the proportion equation
   78,817 : 172,946 = 172,946 : x
2. Step 2: Convert to fraction form
   78,817/172,946 = 172,946/x
3. Step 3: Cross multiply
   78,817x = 172,946 × 172,946
4. Step 4: Simplify right side
   78,817x = 29,910,318,916
5. Step 5: Solve for x
   x = 29,910,318,916/78,817
6. Step 6: Final answer
   x = 379,490.71