Finding the Third Proportional to 72,371 and 111,365

Step by Step Solution

1. Step 1: Write the proportion equation
   72,371 : 111,365 = 111,365 : x
2. Step 2: Convert to fraction form
   72,371/111,365 = 111,365/x
3. Step 3: Cross multiply
   72,371x = 111,365 × 111,365
4. Step 4: Simplify right side
   72,371x = 12,402,163,225
5. Step 5: Solve for x
   x = 12,402,163,225/72,371
6. Step 6: Final answer
   x = 171,369.24