Finding the Third Proportional to 52,137 and 114,642

Step by Step Solution

1. Step 1: Write the proportion equation
   52,137 : 114,642 = 114,642 : x
2. Step 2: Convert to fraction form
   52,137/114,642 = 114,642/x
3. Step 3: Cross multiply
   52,137x = 114,642 × 114,642
4. Step 4: Simplify right side
   52,137x = 13,142,788,164
5. Step 5: Solve for x
   x = 13,142,788,164/52,137
6. Step 6: Final answer
   x = 252,081.79