Finding the Third Proportional to 90,084 and 208,520

Step by Step Solution

1. Step 1: Write the proportion equation
   90,084 : 208,520 = 208,520 : x
2. Step 2: Convert to fraction form
   90,084/208,520 = 208,520/x
3. Step 3: Cross multiply
   90,084x = 208,520 × 208,520
4. Step 4: Simplify right side
   90,084x = 43,480,590,400
5. Step 5: Solve for x
   x = 43,480,590,400/90,084
6. Step 6: Final answer
   x = 482,667.18