Finding the Third Proportional to 88,492 and 194,480

Step by Step Solution

1. Step 1: Write the proportion equation
   88,492 : 194,480 = 194,480 : x
2. Step 2: Convert to fraction form
   88,492/194,480 = 194,480/x
3. Step 3: Cross multiply
   88,492x = 194,480 × 194,480
4. Step 4: Simplify right side
   88,492x = 37,822,470,400
5. Step 5: Solve for x
   x = 37,822,470,400/88,492
6. Step 6: Final answer
   x = 427,411.18