Finding the Third Proportional to 82,372 and 167,664

Step by Step Solution

1. Step 1: Write the proportion equation
   82,372 : 167,664 = 167,664 : x
2. Step 2: Convert to fraction form
   82,372/167,664 = 167,664/x
3. Step 3: Cross multiply
   82,372x = 167,664 × 167,664
4. Step 4: Simplify right side
   82,372x = 28,111,216,896
5. Step 5: Solve for x
   x = 28,111,216,896/82,372
6. Step 6: Final answer
   x = 341,271.51