Finding the Third Proportional to 89,409 and 194,196

Step by Step Solution

1. Step 1: Write the proportion equation
   89,409 : 194,196 = 194,196 : x
2. Step 2: Convert to fraction form
   89,409/194,196 = 194,196/x
3. Step 3: Cross multiply
   89,409x = 194,196 × 194,196
4. Step 4: Simplify right side
   89,409x = 37,712,086,416
5. Step 5: Solve for x
   x = 37,712,086,416/89,409
6. Step 6: Final answer
   x = 421,792.96