Finding the Third Proportional to 102,444 and 217,308

Step by Step Solution

1. Step 1: Write the proportion equation
   102,444 : 217,308 = 217,308 : x
2. Step 2: Convert to fraction form
   102,444/217,308 = 217,308/x
3. Step 3: Cross multiply
   102,444x = 217,308 × 217,308
4. Step 4: Simplify right side
   102,444x = 47,222,766,864
5. Step 5: Solve for x
   x = 47,222,766,864/102,444
6. Step 6: Final answer
   x = 460,961.76