Finding the Third Proportional to 77,284 and 162,870

Step by Step Solution

1. Step 1: Write the proportion equation
   77,284 : 162,870 = 162,870 : x
2. Step 2: Convert to fraction form
   77,284/162,870 = 162,870/x
3. Step 3: Cross multiply
   77,284x = 162,870 × 162,870
4. Step 4: Simplify right side
   77,284x = 26,526,636,900
5. Step 5: Solve for x
   x = 26,526,636,900/77,284
6. Step 6: Final answer
   x = 343,235.82