Finding the Third Proportional to 96,772 and 209,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,772 : 209,113.50 = 209,113.50 : x
2. Step 2: Convert to fraction form
   96,772/209,113.50 = 209,113.50/x
3. Step 3: Cross multiply
   96,772x = 209,113.50 × 209,113.50
4. Step 4: Simplify right side
   96,772x = 43,728,455,882.25
5. Step 5: Solve for x
   x = 43,728,455,882.25/96,772
6. Step 6: Final answer
   x = 451,870.95