Finding the Third Proportional to 114,906 and 251,196

Step by Step Solution

1. Step 1: Write the proportion equation
   114,906 : 251,196 = 251,196 : x
2. Step 2: Convert to fraction form
   114,906/251,196 = 251,196/x
3. Step 3: Cross multiply
   114,906x = 251,196 × 251,196
4. Step 4: Simplify right side
   114,906x = 63,099,430,416
5. Step 5: Solve for x
   x = 63,099,430,416/114,906
6. Step 6: Final answer
   x = 549,139.56