Finding the Third Proportional to 79,523 and 171,501

Step by Step Solution

1. Step 1: Write the proportion equation
   79,523 : 171,501 = 171,501 : x
2. Step 2: Convert to fraction form
   79,523/171,501 = 171,501/x
3. Step 3: Cross multiply
   79,523x = 171,501 × 171,501
4. Step 4: Simplify right side
   79,523x = 29,412,593,001
5. Step 5: Solve for x
   x = 29,412,593,001/79,523
6. Step 6: Final answer
   x = 369,862.72