Finding the Third Proportional to 209,906 and 452,978

Step by Step Solution

1. Step 1: Write the proportion equation
   209,906 : 452,978 = 452,978 : x
2. Step 2: Convert to fraction form
   209,906/452,978 = 452,978/x
3. Step 3: Cross multiply
   209,906x = 452,978 × 452,978
4. Step 4: Simplify right side
   209,906x = 205,189,068,484
5. Step 5: Solve for x
   x = 205,189,068,484/209,906
6. Step 6: Final answer
   x = 977,528.36