Finding the Third Proportional to 313,842 and 686,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   313,842 : 686,368.50 = 686,368.50 : x
2. Step 2: Convert to fraction form
   313,842/686,368.50 = 686,368.50/x
3. Step 3: Cross multiply
   313,842x = 686,368.50 × 686,368.50
4. Step 4: Simplify right side
   313,842x = 471,101,717,792.25
5. Step 5: Solve for x
   x = 471,101,717,792.25/313,842
6. Step 6: Final answer
   x = 1,501,079.26