Finding the Third Proportional to 75,773.25 and 164,650.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,773.25 : 164,650.50 = 164,650.50 : x
2. Step 2: Convert to fraction form
   75,773.25/164,650.50 = 164,650.50/x
3. Step 3: Cross multiply
   75,773.25x = 164,650.50 × 164,650.50
4. Step 4: Simplify right side
   75,773.25x = 27,109,787,150.25
5. Step 5: Solve for x
   x = 27,109,787,150.25/75,773.25
6. Step 6: Final answer
   x = 357,775.17