Finding the Third Proportional to 77,262 and 166,078

Step by Step Solution

1. Step 1: Write the proportion equation
   77,262 : 166,078 = 166,078 : x
2. Step 2: Convert to fraction form
   77,262/166,078 = 166,078/x
3. Step 3: Cross multiply
   77,262x = 166,078 × 166,078
4. Step 4: Simplify right side
   77,262x = 27,581,902,084
5. Step 5: Solve for x
   x = 27,581,902,084/77,262
6. Step 6: Final answer
   x = 356,991.82