Finding the Third Proportional to 174,866 and 374,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,866 : 374,540.50 = 374,540.50 : x
2. Step 2: Convert to fraction form
   174,866/374,540.50 = 374,540.50/x
3. Step 3: Cross multiply
   174,866x = 374,540.50 × 374,540.50
4. Step 4: Simplify right side
   174,866x = 140,280,586,140.25
5. Step 5: Solve for x
   x = 140,280,586,140.25/174,866
6. Step 6: Final answer
   x = 802,217.62