Finding the Third Proportional to 116,435 and 254,663

Step by Step Solution

1. Step 1: Write the proportion equation
   116,435 : 254,663 = 254,663 : x
2. Step 2: Convert to fraction form
   116,435/254,663 = 254,663/x
3. Step 3: Cross multiply
   116,435x = 254,663 × 254,663
4. Step 4: Simplify right side
   116,435x = 64,853,243,569
5. Step 5: Solve for x
   x = 64,853,243,569/116,435
6. Step 6: Final answer
   x = 556,990.97