Finding the Third Proportional to 147,024 and 322,066

Step by Step Solution

1. Step 1: Write the proportion equation
   147,024 : 322,066 = 322,066 : x
2. Step 2: Convert to fraction form
   147,024/322,066 = 322,066/x
3. Step 3: Cross multiply
   147,024x = 322,066 × 322,066
4. Step 4: Simplify right side
   147,024x = 103,726,508,356
5. Step 5: Solve for x
   x = 103,726,508,356/147,024
6. Step 6: Final answer
   x = 705,507.32