Finding the Third Proportional to 102,006 and 195,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,006 : 195,007.50 = 195,007.50 : x
2. Step 2: Convert to fraction form
   102,006/195,007.50 = 195,007.50/x
3. Step 3: Cross multiply
   102,006x = 195,007.50 × 195,007.50
4. Step 4: Simplify right side
   102,006x = 38,027,925,056.25
5. Step 5: Solve for x
   x = 38,027,925,056.25/102,006
6. Step 6: Final answer
   x = 372,800.87