Finding the Third Proportional to 116,802 and 254,484

Step by Step Solution

1. Step 1: Write the proportion equation
   116,802 : 254,484 = 254,484 : x
2. Step 2: Convert to fraction form
   116,802/254,484 = 254,484/x
3. Step 3: Cross multiply
   116,802x = 254,484 × 254,484
4. Step 4: Simplify right side
   116,802x = 64,762,106,256
5. Step 5: Solve for x
   x = 64,762,106,256/116,802
6. Step 6: Final answer
   x = 554,460.59