Finding the Third Proportional to 89,492 and 194,784

Step by Step Solution

1. Step 1: Write the proportion equation
   89,492 : 194,784 = 194,784 : x
2. Step 2: Convert to fraction form
   89,492/194,784 = 194,784/x
3. Step 3: Cross multiply
   89,492x = 194,784 × 194,784
4. Step 4: Simplify right side
   89,492x = 37,940,806,656
5. Step 5: Solve for x
   x = 37,940,806,656/89,492
6. Step 6: Final answer
   x = 423,957.52