Finding the Third Proportional to 175,006.50 and 374,799

Step by Step Solution

1. Step 1: Write the proportion equation
   175,006.50 : 374,799 = 374,799 : x
2. Step 2: Convert to fraction form
   175,006.50/374,799 = 374,799/x
3. Step 3: Cross multiply
   175,006.50x = 374,799 × 374,799
4. Step 4: Simplify right side
   175,006.50x = 140,474,290,401
5. Step 5: Solve for x
   x = 140,474,290,401/175,006.50
6. Step 6: Final answer
   x = 802,680.42