Finding the Third Proportional to 89,262 and 185,085

Step by Step Solution

1. Step 1: Write the proportion equation
   89,262 : 185,085 = 185,085 : x
2. Step 2: Convert to fraction form
   89,262/185,085 = 185,085/x
3. Step 3: Cross multiply
   89,262x = 185,085 × 185,085
4. Step 4: Simplify right side
   89,262x = 34,256,457,225
5. Step 5: Solve for x
   x = 34,256,457,225/89,262
6. Step 6: Final answer
   x = 383,774.25