Finding the Third Proportional to 313,839.75 and 686,364

Step by Step Solution

1. Step 1: Write the proportion equation
   313,839.75 : 686,364 = 686,364 : x
2. Step 2: Convert to fraction form
   313,839.75/686,364 = 686,364/x
3. Step 3: Cross multiply
   313,839.75x = 686,364 × 686,364
4. Step 4: Simplify right side
   313,839.75x = 471,095,540,496
5. Step 5: Solve for x
   x = 471,095,540,496/313,839.75
6. Step 6: Final answer
   x = 1,501,070.34