Finding the Third Proportional to 52,158 and 114,681

Step by Step Solution

1. Step 1: Write the proportion equation
   52,158 : 114,681 = 114,681 : x
2. Step 2: Convert to fraction form
   52,158/114,681 = 114,681/x
3. Step 3: Cross multiply
   52,158x = 114,681 × 114,681
4. Step 4: Simplify right side
   52,158x = 13,151,731,761
5. Step 5: Solve for x
   x = 13,151,731,761/52,158
6. Step 6: Final answer
   x = 252,151.77