Finding the Third Proportional to 77,142 and 160,428

Step by Step Solution

1. Step 1: Write the proportion equation
   77,142 : 160,428 = 160,428 : x
2. Step 2: Convert to fraction form
   77,142/160,428 = 160,428/x
3. Step 3: Cross multiply
   77,142x = 160,428 × 160,428
4. Step 4: Simplify right side
   77,142x = 25,737,143,184
5. Step 5: Solve for x
   x = 25,737,143,184/77,142
6. Step 6: Final answer
   x = 333,633.34