Finding the Third Proportional to 96,864 and 209,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,864 : 209,019.50 = 209,019.50 : x
2. Step 2: Convert to fraction form
   96,864/209,019.50 = 209,019.50/x
3. Step 3: Cross multiply
   96,864x = 209,019.50 × 209,019.50
4. Step 4: Simplify right side
   96,864x = 43,689,151,380.25
5. Step 5: Solve for x
   x = 43,689,151,380.25/96,864
6. Step 6: Final answer
   x = 451,036.00