Finding the Third Proportional to 77,974.50 and 164,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,974.50 : 164,096.25 = 164,096.25 : x
2. Step 2: Convert to fraction form
   77,974.50/164,096.25 = 164,096.25/x
3. Step 3: Cross multiply
   77,974.50x = 164,096.25 × 164,096.25
4. Step 4: Simplify right side
   77,974.50x = 26,927,579,264.06
5. Step 5: Solve for x
   x = 26,927,579,264.06/77,974.50
6. Step 6: Final answer
   x = 345,338.27