Finding the Third Proportional to 77,656 and 166,386

Step by Step Solution

1. Step 1: Write the proportion equation
   77,656 : 166,386 = 166,386 : x
2. Step 2: Convert to fraction form
   77,656/166,386 = 166,386/x
3. Step 3: Cross multiply
   77,656x = 166,386 × 166,386
4. Step 4: Simplify right side
   77,656x = 27,684,300,996
5. Step 5: Solve for x
   x = 27,684,300,996/77,656
6. Step 6: Final answer
   x = 356,499.19