Finding the Third Proportional to 52,005 and 114,054

Step by Step Solution

1. Step 1: Write the proportion equation
   52,005 : 114,054 = 114,054 : x
2. Step 2: Convert to fraction form
   52,005/114,054 = 114,054/x
3. Step 3: Cross multiply
   52,005x = 114,054 × 114,054
4. Step 4: Simplify right side
   52,005x = 13,008,314,916
5. Step 5: Solve for x
   x = 13,008,314,916/52,005
6. Step 6: Final answer
   x = 250,135.85