Finding the Third Proportional to 52,133 and 114,634

Step by Step Solution

1. Step 1: Write the proportion equation
   52,133 : 114,634 = 114,634 : x
2. Step 2: Convert to fraction form
   52,133/114,634 = 114,634/x
3. Step 3: Cross multiply
   52,133x = 114,634 × 114,634
4. Step 4: Simplify right side
   52,133x = 13,140,953,956
5. Step 5: Solve for x
   x = 13,140,953,956/52,133
6. Step 6: Final answer
   x = 252,065.95