Finding the Third Proportional to 72,156 and 105,441

Step by Step Solution

1. Step 1: Write the proportion equation
   72,156 : 105,441 = 105,441 : x
2. Step 2: Convert to fraction form
   72,156/105,441 = 105,441/x
3. Step 3: Cross multiply
   72,156x = 105,441 × 105,441
4. Step 4: Simplify right side
   72,156x = 11,117,804,481
5. Step 5: Solve for x
   x = 11,117,804,481/72,156
6. Step 6: Final answer
   x = 154,080.11