Finding the Third Proportional to 90,495 and 195,015

Step by Step Solution

1. Step 1: Write the proportion equation
   90,495 : 195,015 = 195,015 : x
2. Step 2: Convert to fraction form
   90,495/195,015 = 195,015/x
3. Step 3: Cross multiply
   90,495x = 195,015 × 195,015
4. Step 4: Simplify right side
   90,495x = 38,030,850,225
5. Step 5: Solve for x
   x = 38,030,850,225/90,495
6. Step 6: Final answer
   x = 420,253.61