Finding the Third Proportional to 102,016 and 195,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016 : 195,027.50 = 195,027.50 : x
2. Step 2: Convert to fraction form
   102,016/195,027.50 = 195,027.50/x
3. Step 3: Cross multiply
   102,016x = 195,027.50 × 195,027.50
4. Step 4: Simplify right side
   102,016x = 38,035,725,756.25
5. Step 5: Solve for x
   x = 38,035,725,756.25/102,016
6. Step 6: Final answer
   x = 372,840.79