Finding the Third Proportional to 52,166 and 114,538

Step by Step Solution

1. Step 1: Write the proportion equation
   52,166 : 114,538 = 114,538 : x
2. Step 2: Convert to fraction form
   52,166/114,538 = 114,538/x
3. Step 3: Cross multiply
   52,166x = 114,538 × 114,538
4. Step 4: Simplify right side
   52,166x = 13,118,953,444
5. Step 5: Solve for x
   x = 13,118,953,444/52,166
6. Step 6: Final answer
   x = 251,484.75