Finding the Third Proportional to 199,617 and 286,939.50

Step by Step Solution

1. Step 1: Write the proportion equation
   199,617 : 286,939.50 = 286,939.50 : x
2. Step 2: Convert to fraction form
   199,617/286,939.50 = 286,939.50/x
3. Step 3: Cross multiply
   199,617x = 286,939.50 × 286,939.50
4. Step 4: Simplify right side
   199,617x = 82,334,276,660.25
5. Step 5: Solve for x
   x = 82,334,276,660.25/199,617
6. Step 6: Final answer
   x = 412,461.25