Finding the Third Proportional to 90,662 and 194,434

Step by Step Solution

1. Step 1: Write the proportion equation
   90,662 : 194,434 = 194,434 : x
2. Step 2: Convert to fraction form
   90,662/194,434 = 194,434/x
3. Step 3: Cross multiply
   90,662x = 194,434 × 194,434
4. Step 4: Simplify right side
   90,662x = 37,804,580,356
5. Step 5: Solve for x
   x = 37,804,580,356/90,662
6. Step 6: Final answer
   x = 416,983.75