Finding the Third Proportional to 77,570 and 160,900

Step by Step Solution

1. Step 1: Write the proportion equation
   77,570 : 160,900 = 160,900 : x
2. Step 2: Convert to fraction form
   77,570/160,900 = 160,900/x
3. Step 3: Cross multiply
   77,570x = 160,900 × 160,900
4. Step 4: Simplify right side
   77,570x = 25,888,810,000
5. Step 5: Solve for x
   x = 25,888,810,000/77,570
6. Step 6: Final answer
   x = 333,747.71