Finding the Third Proportional to 52,462 and 114,698

Step by Step Solution

1. Step 1: Write the proportion equation
   52,462 : 114,698 = 114,698 : x
2. Step 2: Convert to fraction form
   52,462/114,698 = 114,698/x
3. Step 3: Cross multiply
   52,462x = 114,698 × 114,698
4. Step 4: Simplify right side
   52,462x = 13,155,631,204
5. Step 5: Solve for x
   x = 13,155,631,204/52,462
6. Step 6: Final answer
   x = 250,764.96