Finding the Third Proportional to 132,664 and 187,538

Step by Step Solution

1. Step 1: Write the proportion equation
   132,664 : 187,538 = 187,538 : x
2. Step 2: Convert to fraction form
   132,664/187,538 = 187,538/x
3. Step 3: Cross multiply
   132,664x = 187,538 × 187,538
4. Step 4: Simplify right side
   132,664x = 35,170,501,444
5. Step 5: Solve for x
   x = 35,170,501,444/132,664
6. Step 6: Final answer
   x = 265,109.61