Finding the Third Proportional to 72,346 and 109,539

Step by Step Solution

1. Step 1: Write the proportion equation
   72,346 : 109,539 = 109,539 : x
2. Step 2: Convert to fraction form
   72,346/109,539 = 109,539/x
3. Step 3: Cross multiply
   72,346x = 109,539 × 109,539
4. Step 4: Simplify right side
   72,346x = 11,998,792,521
5. Step 5: Solve for x
   x = 11,998,792,521/72,346
6. Step 6: Final answer
   x = 165,852.88