Finding the Third Proportional to 314,010 and 654,588

Step by Step Solution

1. Step 1: Write the proportion equation
   314,010 : 654,588 = 654,588 : x
2. Step 2: Convert to fraction form
   314,010/654,588 = 654,588/x
3. Step 3: Cross multiply
   314,010x = 654,588 × 654,588
4. Step 4: Simplify right side
   314,010x = 428,485,449,744
5. Step 5: Solve for x
   x = 428,485,449,744/314,010
6. Step 6: Final answer
   x = 1,364,559.89