Finding the Third Proportional to 147,802 and 323,210

Step by Step Solution

1. Step 1: Write the proportion equation
   147,802 : 323,210 = 323,210 : x
2. Step 2: Convert to fraction form
   147,802/323,210 = 323,210/x
3. Step 3: Cross multiply
   147,802x = 323,210 × 323,210
4. Step 4: Simplify right side
   147,802x = 104,464,704,100
5. Step 5: Solve for x
   x = 104,464,704,100/147,802
6. Step 6: Final answer
   x = 706,788.16