Finding the Third Proportional to 40,178 and 76,710

Step by Step Solution

1. Step 1: Write the proportion equation
   40,178 : 76,710 = 76,710 : x
2. Step 2: Convert to fraction form
   40,178/76,710 = 76,710/x
3. Step 3: Cross multiply
   40,178x = 76,710 × 76,710
4. Step 4: Simplify right side
   40,178x = 5,884,424,100
5. Step 5: Solve for x
   x = 5,884,424,100/40,178
6. Step 6: Final answer
   x = 146,458.86