Finding the Third Proportional to 114,113 and 231,682

Step by Step Solution

1. Step 1: Write the proportion equation
   114,113 : 231,682 = 231,682 : x
2. Step 2: Convert to fraction form
   114,113/231,682 = 231,682/x
3. Step 3: Cross multiply
   114,113x = 231,682 × 231,682
4. Step 4: Simplify right side
   114,113x = 53,676,549,124
5. Step 5: Solve for x
   x = 53,676,549,124/114,113
6. Step 6: Final answer
   x = 470,380.67