Finding the Third Proportional to 341,419 and 735,142

Step by Step Solution

1. Step 1: Write the proportion equation
   341,419 : 735,142 = 735,142 : x
2. Step 2: Convert to fraction form
   341,419/735,142 = 735,142/x
3. Step 3: Cross multiply
   341,419x = 735,142 × 735,142
4. Step 4: Simplify right side
   341,419x = 540,433,760,164
5. Step 5: Solve for x
   x = 540,433,760,164/341,419
6. Step 6: Final answer
   x = 1,582,904.76