Finding the Third Proportional to 269,394 and 422,599.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,394 : 422,599.50 = 422,599.50 : x
2. Step 2: Convert to fraction form
   269,394/422,599.50 = 422,599.50/x
3. Step 3: Cross multiply
   269,394x = 422,599.50 × 422,599.50
4. Step 4: Simplify right side
   269,394x = 178,590,337,400.25
5. Step 5: Solve for x
   x = 178,590,337,400.25/269,394
6. Step 6: Final answer
   x = 662,933.61