Finding the Third Proportional to 89,748 and 194,348

Step by Step Solution

1. Step 1: Write the proportion equation
   89,748 : 194,348 = 194,348 : x
2. Step 2: Convert to fraction form
   89,748/194,348 = 194,348/x
3. Step 3: Cross multiply
   89,748x = 194,348 × 194,348
4. Step 4: Simplify right side
   89,748x = 37,771,145,104
5. Step 5: Solve for x
   x = 37,771,145,104/89,748
6. Step 6: Final answer
   x = 420,857.79