Finding the Third Proportional to 78,985 and 175,466

Step by Step Solution

1. Step 1: Write the proportion equation
   78,985 : 175,466 = 175,466 : x
2. Step 2: Convert to fraction form
   78,985/175,466 = 175,466/x
3. Step 3: Cross multiply
   78,985x = 175,466 × 175,466
4. Step 4: Simplify right side
   78,985x = 30,788,317,156
5. Step 5: Solve for x
   x = 30,788,317,156/78,985
6. Step 6: Final answer
   x = 389,799.55