Finding the Third Proportional to 459,154 and 723,946

Step by Step Solution

1. Step 1: Write the proportion equation
   459,154 : 723,946 = 723,946 : x
2. Step 2: Convert to fraction form
   459,154/723,946 = 723,946/x
3. Step 3: Cross multiply
   459,154x = 723,946 × 723,946
4. Step 4: Simplify right side
   459,154x = 524,097,810,916
5. Step 5: Solve for x
   x = 524,097,810,916/459,154
6. Step 6: Final answer
   x = 1,141,442.33