Finding the Third Proportional to 90,774 and 208,359

Step by Step Solution

1. Step 1: Write the proportion equation
   90,774 : 208,359 = 208,359 : x
2. Step 2: Convert to fraction form
   90,774/208,359 = 208,359/x
3. Step 3: Cross multiply
   90,774x = 208,359 × 208,359
4. Step 4: Simplify right side
   90,774x = 43,413,472,881
5. Step 5: Solve for x
   x = 43,413,472,881/90,774
6. Step 6: Final answer
   x = 478,258.89