Finding the Third Proportional to 146,353.50 and 314,860.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,353.50 : 314,860.50 = 314,860.50 : x
2. Step 2: Convert to fraction form
   146,353.50/314,860.50 = 314,860.50/x
3. Step 3: Cross multiply
   146,353.50x = 314,860.50 × 314,860.50
4. Step 4: Simplify right side
   146,353.50x = 99,137,134,460.25
5. Step 5: Solve for x
   x = 99,137,134,460.25/146,353.50
6. Step 6: Final answer
   x = 677,381.37