Finding the Third Proportional to 96,846 and 209,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,846 : 209,776.50 = 209,776.50 : x
2. Step 2: Convert to fraction form
   96,846/209,776.50 = 209,776.50/x
3. Step 3: Cross multiply
   96,846x = 209,776.50 × 209,776.50
4. Step 4: Simplify right side
   96,846x = 44,006,179,952.25
5. Step 5: Solve for x
   x = 44,006,179,952.25/96,846
6. Step 6: Final answer
   x = 454,393.37