Finding the Third Proportional to 52,005 and 77,238

Step by Step Solution

1. Step 1: Write the proportion equation
   52,005 : 77,238 = 77,238 : x
2. Step 2: Convert to fraction form
   52,005/77,238 = 77,238/x
3. Step 3: Cross multiply
   52,005x = 77,238 × 77,238
4. Step 4: Simplify right side
   52,005x = 5,965,708,644
5. Step 5: Solve for x
   x = 5,965,708,644/52,005
6. Step 6: Final answer
   x = 114,714.14