Finding the Third Proportional to 89,658 and 194,160

Step by Step Solution

1. Step 1: Write the proportion equation
   89,658 : 194,160 = 194,160 : x
2. Step 2: Convert to fraction form
   89,658/194,160 = 194,160/x
3. Step 3: Cross multiply
   89,658x = 194,160 × 194,160
4. Step 4: Simplify right side
   89,658x = 37,698,105,600
5. Step 5: Solve for x
   x = 37,698,105,600/89,658
6. Step 6: Final answer
   x = 420,465.61