Finding the Third Proportional to 116,747 and 256,120

Step by Step Solution

1. Step 1: Write the proportion equation
   116,747 : 256,120 = 256,120 : x
2. Step 2: Convert to fraction form
   116,747/256,120 = 256,120/x
3. Step 3: Cross multiply
   116,747x = 256,120 × 256,120
4. Step 4: Simplify right side
   116,747x = 65,597,454,400
5. Step 5: Solve for x
   x = 65,597,454,400/116,747
6. Step 6: Final answer
   x = 561,877.00