Finding the Third Proportional to 90,066 and 208,506

Step by Step Solution

1. Step 1: Write the proportion equation
   90,066 : 208,506 = 208,506 : x
2. Step 2: Convert to fraction form
   90,066/208,506 = 208,506/x
3. Step 3: Cross multiply
   90,066x = 208,506 × 208,506
4. Step 4: Simplify right side
   90,066x = 43,474,752,036
5. Step 5: Solve for x
   x = 43,474,752,036/90,066
6. Step 6: Final answer
   x = 482,698.82