Finding the Third Proportional to 90,738 and 208,269

Step by Step Solution

1. Step 1: Write the proportion equation
   90,738 : 208,269 = 208,269 : x
2. Step 2: Convert to fraction form
   90,738/208,269 = 208,269/x
3. Step 3: Cross multiply
   90,738x = 208,269 × 208,269
4. Step 4: Simplify right side
   90,738x = 43,375,976,361
5. Step 5: Solve for x
   x = 43,375,976,361/90,738
6. Step 6: Final answer
   x = 478,035.40