Finding the Third Proportional to 52,623 and 116,325

Step by Step Solution

1. Step 1: Write the proportion equation
   52,623 : 116,325 = 116,325 : x
2. Step 2: Convert to fraction form
   52,623/116,325 = 116,325/x
3. Step 3: Cross multiply
   52,623x = 116,325 × 116,325
4. Step 4: Simplify right side
   52,623x = 13,531,505,625
5. Step 5: Solve for x
   x = 13,531,505,625/52,623
6. Step 6: Final answer
   x = 257,140.52