Finding the Third Proportional to 210,438 and 509,449.50

Step by Step Solution

1. Step 1: Write the proportion equation
   210,438 : 509,449.50 = 509,449.50 : x
2. Step 2: Convert to fraction form
   210,438/509,449.50 = 509,449.50/x
3. Step 3: Cross multiply
   210,438x = 509,449.50 × 509,449.50
4. Step 4: Simplify right side
   210,438x = 259,538,793,050.25
5. Step 5: Solve for x
   x = 259,538,793,050.25/210,438
6. Step 6: Final answer
   x = 1,233,326.65