Finding the Third Proportional to 214,639.50 and 339,786

Step by Step Solution

1. Step 1: Write the proportion equation
   214,639.50 : 339,786 = 339,786 : x
2. Step 2: Convert to fraction form
   214,639.50/339,786 = 339,786/x
3. Step 3: Cross multiply
   214,639.50x = 339,786 × 339,786
4. Step 4: Simplify right side
   214,639.50x = 115,454,525,796
5. Step 5: Solve for x
   x = 115,454,525,796/214,639.50
6. Step 6: Final answer
   x = 537,899.71