Finding the Third Proportional to 77,429 and 164,162

Step by Step Solution

1. Step 1: Write the proportion equation
   77,429 : 164,162 = 164,162 : x
2. Step 2: Convert to fraction form
   77,429/164,162 = 164,162/x
3. Step 3: Cross multiply
   77,429x = 164,162 × 164,162
4. Step 4: Simplify right side
   77,429x = 26,949,162,244
5. Step 5: Solve for x
   x = 26,949,162,244/77,429
6. Step 6: Final answer
   x = 348,049.98