Finding the Third Proportional to 77,322 and 162,942

Step by Step Solution

1. Step 1: Write the proportion equation
   77,322 : 162,942 = 162,942 : x
2. Step 2: Convert to fraction form
   77,322/162,942 = 162,942/x
3. Step 3: Cross multiply
   77,322x = 162,942 × 162,942
4. Step 4: Simplify right side
   77,322x = 26,550,095,364
5. Step 5: Solve for x
   x = 26,550,095,364/77,322
6. Step 6: Final answer
   x = 343,370.52