Finding the Third Proportional to 77,977 and 164,100

Step by Step Solution

1. Step 1: Write the proportion equation
   77,977 : 164,100 = 164,100 : x
2. Step 2: Convert to fraction form
   77,977/164,100 = 164,100/x
3. Step 3: Cross multiply
   77,977x = 164,100 × 164,100
4. Step 4: Simplify right side
   77,977x = 26,928,810,000
5. Step 5: Solve for x
   x = 26,928,810,000/77,977
6. Step 6: Final answer
   x = 345,342.99