Finding the Third Proportional to 52,138.69 and 114,427.69

Step by Step Solution

1. Step 1: Write the proportion equation
   52,138.69 : 114,427.69 = 114,427.69 : x
2. Step 2: Convert to fraction form
   52,138.69/114,427.69 = 114,427.69/x
3. Step 3: Cross multiply
   52,138.69x = 114,427.69 × 114,427.69
4. Step 4: Simplify right side
   52,138.69x = 13,093,695,666.60
5. Step 5: Solve for x
   x = 13,093,695,666.60/52,138.69
6. Step 6: Final answer
   x = 251,132.05