Finding the Third Proportional to 217,953 and 333,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   217,953 : 333,265.50 = 333,265.50 : x
2. Step 2: Convert to fraction form
   217,953/333,265.50 = 333,265.50/x
3. Step 3: Cross multiply
   217,953x = 333,265.50 × 333,265.50
4. Step 4: Simplify right side
   217,953x = 111,065,893,490.25
5. Step 5: Solve for x
   x = 111,065,893,490.25/217,953
6. Step 6: Final answer
   x = 509,586.44