Finding the Third Proportional to 146,017.50 and 316,821

Step by Step Solution

1. Step 1: Write the proportion equation
   146,017.50 : 316,821 = 316,821 : x
2. Step 2: Convert to fraction form
   146,017.50/316,821 = 316,821/x
3. Step 3: Cross multiply
   146,017.50x = 316,821 × 316,821
4. Step 4: Simplify right side
   146,017.50x = 100,375,546,041
5. Step 5: Solve for x
   x = 100,375,546,041/146,017.50
6. Step 6: Final answer
   x = 687,421.34