Finding the Third Proportional to 314,004 and 680,136

Step by Step Solution

1. Step 1: Write the proportion equation
   314,004 : 680,136 = 680,136 : x
2. Step 2: Convert to fraction form
   314,004/680,136 = 680,136/x
3. Step 3: Cross multiply
   314,004x = 680,136 × 680,136
4. Step 4: Simplify right side
   314,004x = 462,584,978,496
5. Step 5: Solve for x
   x = 462,584,978,496/314,004
6. Step 6: Final answer
   x = 1,473,181.80