Finding the Third Proportional to 123,962 and 254,516

Step by Step Solution

1. Step 1: Write the proportion equation
   123,962 : 254,516 = 254,516 : x
2. Step 2: Convert to fraction form
   123,962/254,516 = 254,516/x
3. Step 3: Cross multiply
   123,962x = 254,516 × 254,516
4. Step 4: Simplify right side
   123,962x = 64,778,394,256
5. Step 5: Solve for x
   x = 64,778,394,256/123,962
6. Step 6: Final answer
   x = 522,566.55