Finding the Third Proportional to 52,229 and 114,826

Step by Step Solution

1. Step 1: Write the proportion equation
   52,229 : 114,826 = 114,826 : x
2. Step 2: Convert to fraction form
   52,229/114,826 = 114,826/x
3. Step 3: Cross multiply
   52,229x = 114,826 × 114,826
4. Step 4: Simplify right side
   52,229x = 13,185,010,276
5. Step 5: Solve for x
   x = 13,185,010,276/52,229
6. Step 6: Final answer
   x = 252,446.16