Finding the Third Proportional to 96,499 and 209,501

Step by Step Solution

1. Step 1: Write the proportion equation
   96,499 : 209,501 = 209,501 : x
2. Step 2: Convert to fraction form
   96,499/209,501 = 209,501/x
3. Step 3: Cross multiply
   96,499x = 209,501 × 209,501
4. Step 4: Simplify right side
   96,499x = 43,890,669,001
5. Step 5: Solve for x
   x = 43,890,669,001/96,499
6. Step 6: Final answer
   x = 454,830.30