Finding the Third Proportional to 314,532 and 684,360

Step by Step Solution

1. Step 1: Write the proportion equation
   314,532 : 684,360 = 684,360 : x
2. Step 2: Convert to fraction form
   314,532/684,360 = 684,360/x
3. Step 3: Cross multiply
   314,532x = 684,360 × 684,360
4. Step 4: Simplify right side
   314,532x = 468,348,609,600
5. Step 5: Solve for x
   x = 468,348,609,600/314,532
6. Step 6: Final answer
   x = 1,489,033.26