Finding the Third Proportional to 216,084 and 338,314.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,084 : 338,314.50 = 338,314.50 : x
2. Step 2: Convert to fraction form
   216,084/338,314.50 = 338,314.50/x
3. Step 3: Cross multiply
   216,084x = 338,314.50 × 338,314.50
4. Step 4: Simplify right side
   216,084x = 114,456,700,910.25
5. Step 5: Solve for x
   x = 114,456,700,910.25/216,084
6. Step 6: Final answer
   x = 529,686.14