Finding the Third Proportional to 116,666 and 254,716

Step by Step Solution

1. Step 1: Write the proportion equation
   116,666 : 254,716 = 254,716 : x
2. Step 2: Convert to fraction form
   116,666/254,716 = 254,716/x
3. Step 3: Cross multiply
   116,666x = 254,716 × 254,716
4. Step 4: Simplify right side
   116,666x = 64,880,240,656
5. Step 5: Solve for x
   x = 64,880,240,656/116,666
6. Step 6: Final answer
   x = 556,119.53