Finding the Third Proportional to 82,346 and 167,608

Step by Step Solution

1. Step 1: Write the proportion equation
   82,346 : 167,608 = 167,608 : x
2. Step 2: Convert to fraction form
   82,346/167,608 = 167,608/x
3. Step 3: Cross multiply
   82,346x = 167,608 × 167,608
4. Step 4: Simplify right side
   82,346x = 28,092,441,664
5. Step 5: Solve for x
   x = 28,092,441,664/82,346
6. Step 6: Final answer
   x = 341,151.26