Finding the Third Proportional to 77,046 and 160,140

Step by Step Solution

1. Step 1: Write the proportion equation
   77,046 : 160,140 = 160,140 : x
2. Step 2: Convert to fraction form
   77,046/160,140 = 160,140/x
3. Step 3: Cross multiply
   77,046x = 160,140 × 160,140
4. Step 4: Simplify right side
   77,046x = 25,644,819,600
5. Step 5: Solve for x
   x = 25,644,819,600/77,046
6. Step 6: Final answer
   x = 332,850.76