Finding the Third Proportional to 335,722.50 and 686,952

Step by Step Solution

1. Step 1: Write the proportion equation
   335,722.50 : 686,952 = 686,952 : x
2. Step 2: Convert to fraction form
   335,722.50/686,952 = 686,952/x
3. Step 3: Cross multiply
   335,722.50x = 686,952 × 686,952
4. Step 4: Simplify right side
   335,722.50x = 471,903,050,304
5. Step 5: Solve for x
   x = 471,903,050,304/335,722.50
6. Step 6: Final answer
   x = 1,405,634.27