Finding the Third Proportional to 294,200 and 454,602

Step by Step Solution

1. Step 1: Write the proportion equation
   294,200 : 454,602 = 454,602 : x
2. Step 2: Convert to fraction form
   294,200/454,602 = 454,602/x
3. Step 3: Cross multiply
   294,200x = 454,602 × 454,602
4. Step 4: Simplify right side
   294,200x = 206,662,978,404
5. Step 5: Solve for x
   x = 206,662,978,404/294,200
6. Step 6: Final answer
   x = 702,457.44