Finding the Third Proportional to 123,202 and 263,900

Step by Step Solution

1. Step 1: Write the proportion equation
   123,202 : 263,900 = 263,900 : x
2. Step 2: Convert to fraction form
   123,202/263,900 = 263,900/x
3. Step 3: Cross multiply
   123,202x = 263,900 × 263,900
4. Step 4: Simplify right side
   123,202x = 69,643,210,000
5. Step 5: Solve for x
   x = 69,643,210,000/123,202
6. Step 6: Final answer
   x = 565,276.62