Finding the Third Proportional to 52,974 and 114,696

Step by Step Solution

1. Step 1: Write the proportion equation
   52,974 : 114,696 = 114,696 : x
2. Step 2: Convert to fraction form
   52,974/114,696 = 114,696/x
3. Step 3: Cross multiply
   52,974x = 114,696 × 114,696
4. Step 4: Simplify right side
   52,974x = 13,155,172,416
5. Step 5: Solve for x
   x = 13,155,172,416/52,974
6. Step 6: Final answer
   x = 248,332.62