Finding the Third Proportional to 314,502 and 684,300

Step by Step Solution

1. Step 1: Write the proportion equation
   314,502 : 684,300 = 684,300 : x
2. Step 2: Convert to fraction form
   314,502/684,300 = 684,300/x
3. Step 3: Cross multiply
   314,502x = 684,300 × 684,300
4. Step 4: Simplify right side
   314,502x = 468,266,490,000
5. Step 5: Solve for x
   x = 468,266,490,000/314,502
6. Step 6: Final answer
   x = 1,488,914.19