Finding the Third Proportional to 96,900 and 209,076

Step by Step Solution

1. Step 1: Write the proportion equation
   96,900 : 209,076 = 209,076 : x
2. Step 2: Convert to fraction form
   96,900/209,076 = 209,076/x
3. Step 3: Cross multiply
   96,900x = 209,076 × 209,076
4. Step 4: Simplify right side
   96,900x = 43,712,773,776
5. Step 5: Solve for x
   x = 43,712,773,776/96,900
6. Step 6: Final answer
   x = 451,112.22