Finding the Third Proportional to 73,218 and 109,538

Step by Step Solution

1. Step 1: Write the proportion equation
   73,218 : 109,538 = 109,538 : x
2. Step 2: Convert to fraction form
   73,218/109,538 = 109,538/x
3. Step 3: Cross multiply
   73,218x = 109,538 × 109,538
4. Step 4: Simplify right side
   73,218x = 11,998,573,444
5. Step 5: Solve for x
   x = 11,998,573,444/73,218
6. Step 6: Final answer
   x = 163,874.64