Finding the Third Proportional to 40,176 and 76,705.88

Step by Step Solution

1. Step 1: Write the proportion equation
   40,176 : 76,705.88 = 76,705.88 : x
2. Step 2: Convert to fraction form
   40,176/76,705.88 = 76,705.88/x
3. Step 3: Cross multiply
   40,176x = 76,705.88 × 76,705.88
4. Step 4: Simplify right side
   40,176x = 5,883,791,259.52
5. Step 5: Solve for x
   x = 5,883,791,259.52/40,176
6. Step 6: Final answer
   x = 146,450.40