Finding the Third Proportional to 90,633 and 194,392

Step by Step Solution

1. Step 1: Write the proportion equation
   90,633 : 194,392 = 194,392 : x
2. Step 2: Convert to fraction form
   90,633/194,392 = 194,392/x
3. Step 3: Cross multiply
   90,633x = 194,392 × 194,392
4. Step 4: Simplify right side
   90,633x = 37,788,249,664
5. Step 5: Solve for x
   x = 37,788,249,664/90,633
6. Step 6: Final answer
   x = 416,936.98