Finding the Third Proportional to 90,070 and 208,516

Step by Step Solution

1. Step 1: Write the proportion equation
   90,070 : 208,516 = 208,516 : x
2. Step 2: Convert to fraction form
   90,070/208,516 = 208,516/x
3. Step 3: Cross multiply
   90,070x = 208,516 × 208,516
4. Step 4: Simplify right side
   90,070x = 43,478,922,256
5. Step 5: Solve for x
   x = 43,478,922,256/90,070
6. Step 6: Final answer
   x = 482,723.68