Finding the Third Proportional to 90,664 and 199,256

Step by Step Solution

1. Step 1: Write the proportion equation
   90,664 : 199,256 = 199,256 : x
2. Step 2: Convert to fraction form
   90,664/199,256 = 199,256/x
3. Step 3: Cross multiply
   90,664x = 199,256 × 199,256
4. Step 4: Simplify right side
   90,664x = 39,702,953,536
5. Step 5: Solve for x
   x = 39,702,953,536/90,664
6. Step 6: Final answer
   x = 437,913.10