Finding the Third Proportional to 90,056 and 208,463

Step by Step Solution

1. Step 1: Write the proportion equation
   90,056 : 208,463 = 208,463 : x
2. Step 2: Convert to fraction form
   90,056/208,463 = 208,463/x
3. Step 3: Cross multiply
   90,056x = 208,463 × 208,463
4. Step 4: Simplify right side
   90,056x = 43,456,822,369
5. Step 5: Solve for x
   x = 43,456,822,369/90,056
6. Step 6: Final answer
   x = 482,553.33