Finding the Third Proportional to 174,825 and 374,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,825 : 374,575.50 = 374,575.50 : x
2. Step 2: Convert to fraction form
   174,825/374,575.50 = 374,575.50/x
3. Step 3: Cross multiply
   174,825x = 374,575.50 × 374,575.50
4. Step 4: Simplify right side
   174,825x = 140,306,805,200.25
5. Step 5: Solve for x
   x = 140,306,805,200.25/174,825
6. Step 6: Final answer
   x = 802,555.73