Finding the Third Proportional to 116,522 and 254,851

Step by Step Solution

1. Step 1: Write the proportion equation
   116,522 : 254,851 = 254,851 : x
2. Step 2: Convert to fraction form
   116,522/254,851 = 254,851/x
3. Step 3: Cross multiply
   116,522x = 254,851 × 254,851
4. Step 4: Simplify right side
   116,522x = 64,949,032,201
5. Step 5: Solve for x
   x = 64,949,032,201/116,522
6. Step 6: Final answer
   x = 557,397.16