Finding the Third Proportional to 77,977.50 and 164,103.38

Step by Step Solution

1. Step 1: Write the proportion equation
   77,977.50 : 164,103.38 = 164,103.38 : x
2. Step 2: Convert to fraction form
   77,977.50/164,103.38 = 164,103.38/x
3. Step 3: Cross multiply
   77,977.50x = 164,103.38 × 164,103.38
4. Step 4: Simplify right side
   77,977.50x = 26,929,917,686.39
5. Step 5: Solve for x
   x = 26,929,917,686.39/77,977.50
6. Step 6: Final answer
   x = 345,354.98