Finding the Third Proportional to 89,146 and 194,280

Step by Step Solution

1. Step 1: Write the proportion equation
   89,146 : 194,280 = 194,280 : x
2. Step 2: Convert to fraction form
   89,146/194,280 = 194,280/x
3. Step 3: Cross multiply
   89,146x = 194,280 × 194,280
4. Step 4: Simplify right side
   89,146x = 37,744,718,400
5. Step 5: Solve for x
   x = 37,744,718,400/89,146
6. Step 6: Final answer
   x = 423,403.39