Finding the Third Proportional to 357,410 and 714,784

Step by Step Solution

1. Step 1: Write the proportion equation
   357,410 : 714,784 = 714,784 : x
2. Step 2: Convert to fraction form
   357,410/714,784 = 714,784/x
3. Step 3: Cross multiply
   357,410x = 714,784 × 714,784
4. Step 4: Simplify right side
   357,410x = 510,916,166,656
5. Step 5: Solve for x
   x = 510,916,166,656/357,410
6. Step 6: Final answer
   x = 1,429,496.00