Finding the Third Proportional to 74,820 and 164,178.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,820 : 164,178.50 = 164,178.50 : x
2. Step 2: Convert to fraction form
   74,820/164,178.50 = 164,178.50/x
3. Step 3: Cross multiply
   74,820x = 164,178.50 × 164,178.50
4. Step 4: Simplify right side
   74,820x = 26,954,579,862.25
5. Step 5: Solve for x
   x = 26,954,579,862.25/74,820
6. Step 6: Final answer
   x = 360,259.02