Finding the Third Proportional to 90,386 and 194,745

Step by Step Solution

1. Step 1: Write the proportion equation
   90,386 : 194,745 = 194,745 : x
2. Step 2: Convert to fraction form
   90,386/194,745 = 194,745/x
3. Step 3: Cross multiply
   90,386x = 194,745 × 194,745
4. Step 4: Simplify right side
   90,386x = 37,925,615,025
5. Step 5: Solve for x
   x = 37,925,615,025/90,386
6. Step 6: Final answer
   x = 419,596.12