Finding the Third Proportional to 219,537 and 338,917.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,537 : 338,917.50 = 338,917.50 : x
2. Step 2: Convert to fraction form
   219,537/338,917.50 = 338,917.50/x
3. Step 3: Cross multiply
   219,537x = 338,917.50 × 338,917.50
4. Step 4: Simplify right side
   219,537x = 114,865,071,806.25
5. Step 5: Solve for x
   x = 114,865,071,806.25/219,537
6. Step 6: Final answer
   x = 523,215.09