Finding the Third Proportional to 116,870 and 255,972

Step by Step Solution

1. Step 1: Write the proportion equation
   116,870 : 255,972 = 255,972 : x
2. Step 2: Convert to fraction form
   116,870/255,972 = 255,972/x
3. Step 3: Cross multiply
   116,870x = 255,972 × 255,972
4. Step 4: Simplify right side
   116,870x = 65,521,664,784
5. Step 5: Solve for x
   x = 65,521,664,784/116,870
6. Step 6: Final answer
   x = 560,637.16