Finding the Third Proportional to 103,476 and 233,742

Step by Step Solution

1. Step 1: Write the proportion equation
   103,476 : 233,742 = 233,742 : x
2. Step 2: Convert to fraction form
   103,476/233,742 = 233,742/x
3. Step 3: Cross multiply
   103,476x = 233,742 × 233,742
4. Step 4: Simplify right side
   103,476x = 54,635,322,564
5. Step 5: Solve for x
   x = 54,635,322,564/103,476
6. Step 6: Final answer
   x = 527,999.95