Finding the Third Proportional to 90,068 and 193,256

Step by Step Solution

1. Step 1: Write the proportion equation
   90,068 : 193,256 = 193,256 : x
2. Step 2: Convert to fraction form
   90,068/193,256 = 193,256/x
3. Step 3: Cross multiply
   90,068x = 193,256 × 193,256
4. Step 4: Simplify right side
   90,068x = 37,347,881,536
5. Step 5: Solve for x
   x = 37,347,881,536/90,068
6. Step 6: Final answer
   x = 414,663.16