Finding the Third Proportional to 101,226 and 216,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,226 : 216,464.50 = 216,464.50 : x
2. Step 2: Convert to fraction form
   101,226/216,464.50 = 216,464.50/x
3. Step 3: Cross multiply
   101,226x = 216,464.50 × 216,464.50
4. Step 4: Simplify right side
   101,226x = 46,856,879,760.25
5. Step 5: Solve for x
   x = 46,856,879,760.25/101,226
6. Step 6: Final answer
   x = 462,893.72