Finding the Third Proportional to 84,629 and 200,501

Step by Step Solution

1. Step 1: Write the proportion equation
   84,629 : 200,501 = 200,501 : x
2. Step 2: Convert to fraction form
   84,629/200,501 = 200,501/x
3. Step 3: Cross multiply
   84,629x = 200,501 × 200,501
4. Step 4: Simplify right side
   84,629x = 40,200,651,001
5. Step 5: Solve for x
   x = 40,200,651,001/84,629
6. Step 6: Final answer
   x = 475,022.17