Finding the Third Proportional to 52,094 and 114,196

Step by Step Solution

1. Step 1: Write the proportion equation
   52,094 : 114,196 = 114,196 : x
2. Step 2: Convert to fraction form
   52,094/114,196 = 114,196/x
3. Step 3: Cross multiply
   52,094x = 114,196 × 114,196
4. Step 4: Simplify right side
   52,094x = 13,040,726,416
5. Step 5: Solve for x
   x = 13,040,726,416/52,094
6. Step 6: Final answer
   x = 250,330.68