Finding the Third Proportional to 90,896 and 194,428

Step by Step Solution

1. Step 1: Write the proportion equation
   90,896 : 194,428 = 194,428 : x
2. Step 2: Convert to fraction form
   90,896/194,428 = 194,428/x
3. Step 3: Cross multiply
   90,896x = 194,428 × 194,428
4. Step 4: Simplify right side
   90,896x = 37,802,247,184
5. Step 5: Solve for x
   x = 37,802,247,184/90,896
6. Step 6: Final answer
   x = 415,884.61