Finding the Third Proportional to 71,577.75 and 105,179.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71,577.75 : 105,179.25 = 105,179.25 : x
2. Step 2: Convert to fraction form
   71,577.75/105,179.25 = 105,179.25/x
3. Step 3: Cross multiply
   71,577.75x = 105,179.25 × 105,179.25
4. Step 4: Simplify right side
   71,577.75x = 11,062,674,630.56
5. Step 5: Solve for x
   x = 11,062,674,630.56/71,577.75
6. Step 6: Final answer
   x = 154,554.66