Finding the Third Proportional to 77,964 and 164,078.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,964 : 164,078.25 = 164,078.25 : x
2. Step 2: Convert to fraction form
   77,964/164,078.25 = 164,078.25/x
3. Step 3: Cross multiply
   77,964x = 164,078.25 × 164,078.25
4. Step 4: Simplify right side
   77,964x = 26,921,672,123.06
5. Step 5: Solve for x
   x = 26,921,672,123.06/77,964
6. Step 6: Final answer
   x = 345,309.02