Finding the Third Proportional to 89,745 and 194,348.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,745 : 194,348.25 = 194,348.25 : x
2. Step 2: Convert to fraction form
   89,745/194,348.25 = 194,348.25/x
3. Step 3: Cross multiply
   89,745x = 194,348.25 × 194,348.25
4. Step 4: Simplify right side
   89,745x = 37,771,242,278.06
5. Step 5: Solve for x
   x = 37,771,242,278.06/89,745
6. Step 6: Final answer
   x = 420,872.94