Finding the Third Proportional to 356,471 and 742,429

Step by Step Solution

1. Step 1: Write the proportion equation
   356,471 : 742,429 = 742,429 : x
2. Step 2: Convert to fraction form
   356,471/742,429 = 742,429/x
3. Step 3: Cross multiply
   356,471x = 742,429 × 742,429
4. Step 4: Simplify right side
   356,471x = 551,200,820,041
5. Step 5: Solve for x
   x = 551,200,820,041/356,471
6. Step 6: Final answer
   x = 1,546,271.14