Finding the Third Proportional to 102,015 and 195,025.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,015 : 195,025.50 = 195,025.50 : x
2. Step 2: Convert to fraction form
   102,015/195,025.50 = 195,025.50/x
3. Step 3: Cross multiply
   102,015x = 195,025.50 × 195,025.50
4. Step 4: Simplify right side
   102,015x = 38,034,945,650.25
5. Step 5: Solve for x
   x = 38,034,945,650.25/102,015
6. Step 6: Final answer
   x = 372,836.80