Finding the Third Proportional to 127,538 and 161,710

Step by Step Solution

1. Step 1: Write the proportion equation
   127,538 : 161,710 = 161,710 : x
2. Step 2: Convert to fraction form
   127,538/161,710 = 161,710/x
3. Step 3: Cross multiply
   127,538x = 161,710 × 161,710
4. Step 4: Simplify right side
   127,538x = 26,150,124,100
5. Step 5: Solve for x
   x = 26,150,124,100/127,538
6. Step 6: Final answer
   x = 205,037.90