Finding the Third Proportional to 72,160 and 105,447

Step by Step Solution

1. Step 1: Write the proportion equation
   72,160 : 105,447 = 105,447 : x
2. Step 2: Convert to fraction form
   72,160/105,447 = 105,447/x
3. Step 3: Cross multiply
   72,160x = 105,447 × 105,447
4. Step 4: Simplify right side
   72,160x = 11,119,069,809
5. Step 5: Solve for x
   x = 11,119,069,809/72,160
6. Step 6: Final answer
   x = 154,089.10