Finding the Third Proportional to 106,658 and 233,404

Step by Step Solution

1. Step 1: Write the proportion equation
   106,658 : 233,404 = 233,404 : x
2. Step 2: Convert to fraction form
   106,658/233,404 = 233,404/x
3. Step 3: Cross multiply
   106,658x = 233,404 × 233,404
4. Step 4: Simplify right side
   106,658x = 54,477,427,216
5. Step 5: Solve for x
   x = 54,477,427,216/106,658
6. Step 6: Final answer
   x = 510,767.38