Finding the Third Proportional to 123,052 and 161,580

Step by Step Solution

1. Step 1: Write the proportion equation
   123,052 : 161,580 = 161,580 : x
2. Step 2: Convert to fraction form
   123,052/161,580 = 161,580/x
3. Step 3: Cross multiply
   123,052x = 161,580 × 161,580
4. Step 4: Simplify right side
   123,052x = 26,108,096,400
5. Step 5: Solve for x
   x = 26,108,096,400/123,052
6. Step 6: Final answer
   x = 212,171.25