Finding the Third Proportional to 90,025 and 194,007

Step by Step Solution

1. Step 1: Write the proportion equation
   90,025 : 194,007 = 194,007 : x
2. Step 2: Convert to fraction form
   90,025/194,007 = 194,007/x
3. Step 3: Cross multiply
   90,025x = 194,007 × 194,007
4. Step 4: Simplify right side
   90,025x = 37,638,716,049
5. Step 5: Solve for x
   x = 37,638,716,049/90,025
6. Step 6: Final answer
   x = 418,091.82