Finding the Third Proportional to 67,977 and 147,633

Step by Step Solution

1. Step 1: Write the proportion equation
   67,977 : 147,633 = 147,633 : x
2. Step 2: Convert to fraction form
   67,977/147,633 = 147,633/x
3. Step 3: Cross multiply
   67,977x = 147,633 × 147,633
4. Step 4: Simplify right side
   67,977x = 21,795,502,689
5. Step 5: Solve for x
   x = 21,795,502,689/67,977
6. Step 6: Final answer
   x = 320,630.55