Finding the Third Proportional to 146,209.50 and 314,175

Step by Step Solution

1. Step 1: Write the proportion equation
   146,209.50 : 314,175 = 314,175 : x
2. Step 2: Convert to fraction form
   146,209.50/314,175 = 314,175/x
3. Step 3: Cross multiply
   146,209.50x = 314,175 × 314,175
4. Step 4: Simplify right side
   146,209.50x = 98,705,930,625
5. Step 5: Solve for x
   x = 98,705,930,625/146,209.50
6. Step 6: Final answer
   x = 675,099.30