Finding the Third Proportional to 77,429.25 and 164,162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,429.25 : 164,162.25 = 164,162.25 : x
2. Step 2: Convert to fraction form
   77,429.25/164,162.25 = 164,162.25/x
3. Step 3: Cross multiply
   77,429.25x = 164,162.25 × 164,162.25
4. Step 4: Simplify right side
   77,429.25x = 26,949,244,325.06
5. Step 5: Solve for x
   x = 26,949,244,325.06/77,429.25
6. Step 6: Final answer
   x = 348,049.92