Finding the Third Proportional to 89,262 and 195,774

Step by Step Solution

1. Step 1: Write the proportion equation
   89,262 : 195,774 = 195,774 : x
2. Step 2: Convert to fraction form
   89,262/195,774 = 195,774/x
3. Step 3: Cross multiply
   89,262x = 195,774 × 195,774
4. Step 4: Simplify right side
   89,262x = 38,327,459,076
5. Step 5: Solve for x
   x = 38,327,459,076/89,262
6. Step 6: Final answer
   x = 429,381.59