Finding the Third Proportional to 71,218 and 105,729

Step by Step Solution

1. Step 1: Write the proportion equation
   71,218 : 105,729 = 105,729 : x
2. Step 2: Convert to fraction form
   71,218/105,729 = 105,729/x
3. Step 3: Cross multiply
   71,218x = 105,729 × 105,729
4. Step 4: Simplify right side
   71,218x = 11,178,621,441
5. Step 5: Solve for x
   x = 11,178,621,441/71,218
6. Step 6: Final answer
   x = 156,963.43