Finding the Third Proportional to 89,496 and 194,763

Step by Step Solution

1. Step 1: Write the proportion equation
   89,496 : 194,763 = 194,763 : x
2. Step 2: Convert to fraction form
   89,496/194,763 = 194,763/x
3. Step 3: Cross multiply
   89,496x = 194,763 × 194,763
4. Step 4: Simplify right side
   89,496x = 37,932,626,169
5. Step 5: Solve for x
   x = 37,932,626,169/89,496
6. Step 6: Final answer
   x = 423,847.17