Finding the Third Proportional to 75,256 and 164,504.75

Step by Step Solution

1. Step 1: Write the proportion equation
   75,256 : 164,504.75 = 164,504.75 : x
2. Step 2: Convert to fraction form
   75,256/164,504.75 = 164,504.75/x
3. Step 3: Cross multiply
   75,256x = 164,504.75 × 164,504.75
4. Step 4: Simplify right side
   75,256x = 27,061,812,772.56
5. Step 5: Solve for x
   x = 27,061,812,772.56/75,256
6. Step 6: Final answer
   x = 359,596.75