Finding the Third Proportional to 90,552 and 194,988

Step by Step Solution

1. Step 1: Write the proportion equation
   90,552 : 194,988 = 194,988 : x
2. Step 2: Convert to fraction form
   90,552/194,988 = 194,988/x
3. Step 3: Cross multiply
   90,552x = 194,988 × 194,988
4. Step 4: Simplify right side
   90,552x = 38,020,320,144
5. Step 5: Solve for x
   x = 38,020,320,144/90,552
6. Step 6: Final answer
   x = 419,872.78