Finding the Third Proportional to 221,949 and 338,451.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,949 : 338,451.50 = 338,451.50 : x
2. Step 2: Convert to fraction form
   221,949/338,451.50 = 338,451.50/x
3. Step 3: Cross multiply
   221,949x = 338,451.50 × 338,451.50
4. Step 4: Simplify right side
   221,949x = 114,549,417,852.25
5. Step 5: Solve for x
   x = 114,549,417,852.25/221,949
6. Step 6: Final answer
   x = 516,106.93