Finding the Third Proportional to 75,150.50 and 164,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,150.50 : 164,151.50 = 164,151.50 : x
2. Step 2: Convert to fraction form
   75,150.50/164,151.50 = 164,151.50/x
3. Step 3: Cross multiply
   75,150.50x = 164,151.50 × 164,151.50
4. Step 4: Simplify right side
   75,150.50x = 26,945,714,952.25
5. Step 5: Solve for x
   x = 26,945,714,952.25/75,150.50
6. Step 6: Final answer
   x = 358,556.70