Finding the Third Proportional to 71,760 and 105,447

Step by Step Solution

1. Step 1: Write the proportion equation
   71,760 : 105,447 = 105,447 : x
2. Step 2: Convert to fraction form
   71,760/105,447 = 105,447/x
3. Step 3: Cross multiply
   71,760x = 105,447 × 105,447
4. Step 4: Simplify right side
   71,760x = 11,119,069,809
5. Step 5: Solve for x
   x = 11,119,069,809/71,760
6. Step 6: Final answer
   x = 154,948.02