Finding the Third Proportional to 116,200 and 254,552

Step by Step Solution

1. Step 1: Write the proportion equation
   116,200 : 254,552 = 254,552 : x
2. Step 2: Convert to fraction form
   116,200/254,552 = 254,552/x
3. Step 3: Cross multiply
   116,200x = 254,552 × 254,552
4. Step 4: Simplify right side
   116,200x = 64,796,720,704
5. Step 5: Solve for x
   x = 64,796,720,704/116,200
6. Step 6: Final answer
   x = 557,630.99