Finding the Third Proportional to 147,964.50 and 321,066

Step by Step Solution

1. Step 1: Write the proportion equation
   147,964.50 : 321,066 = 321,066 : x
2. Step 2: Convert to fraction form
   147,964.50/321,066 = 321,066/x
3. Step 3: Cross multiply
   147,964.50x = 321,066 × 321,066
4. Step 4: Simplify right side
   147,964.50x = 103,083,376,356
5. Step 5: Solve for x
   x = 103,083,376,356/147,964.50
6. Step 6: Final answer
   x = 696,676.41