Finding the Third Proportional to 71,580 and 105,182

Step by Step Solution

1. Step 1: Write the proportion equation
   71,580 : 105,182 = 105,182 : x
2. Step 2: Convert to fraction form
   71,580/105,182 = 105,182/x
3. Step 3: Cross multiply
   71,580x = 105,182 × 105,182
4. Step 4: Simplify right side
   71,580x = 11,063,253,124
5. Step 5: Solve for x
   x = 11,063,253,124/71,580
6. Step 6: Final answer
   x = 154,557.88