Finding the Third Proportional to 116,433 and 254,659

Step by Step Solution

1. Step 1: Write the proportion equation
   116,433 : 254,659 = 254,659 : x
2. Step 2: Convert to fraction form
   116,433/254,659 = 254,659/x
3. Step 3: Cross multiply
   116,433x = 254,659 × 254,659
4. Step 4: Simplify right side
   116,433x = 64,851,206,281
5. Step 5: Solve for x
   x = 64,851,206,281/116,433
6. Step 6: Final answer
   x = 556,983.04