Finding the Third Proportional to 96,870 and 209,031

Step by Step Solution

1. Step 1: Write the proportion equation
   96,870 : 209,031 = 209,031 : x
2. Step 2: Convert to fraction form
   96,870/209,031 = 209,031/x
3. Step 3: Cross multiply
   96,870x = 209,031 × 209,031
4. Step 4: Simplify right side
   96,870x = 43,693,958,961
5. Step 5: Solve for x
   x = 43,693,958,961/96,870
6. Step 6: Final answer
   x = 451,057.70