Finding the Third Proportional to 72,205 and 161,012

Step by Step Solution

1. Step 1: Write the proportion equation
   72,205 : 161,012 = 161,012 : x
2. Step 2: Convert to fraction form
   72,205/161,012 = 161,012/x
3. Step 3: Cross multiply
   72,205x = 161,012 × 161,012
4. Step 4: Simplify right side
   72,205x = 25,924,864,144
5. Step 5: Solve for x
   x = 25,924,864,144/72,205
6. Step 6: Final answer
   x = 359,045.28