Finding the Third Proportional to 164,500.50 and 357,189

Step by Step Solution

1. Step 1: Write the proportion equation
   164,500.50 : 357,189 = 357,189 : x
2. Step 2: Convert to fraction form
   164,500.50/357,189 = 357,189/x
3. Step 3: Cross multiply
   164,500.50x = 357,189 × 357,189
4. Step 4: Simplify right side
   164,500.50x = 127,583,981,721
5. Step 5: Solve for x
   x = 127,583,981,721/164,500.50
6. Step 6: Final answer
   x = 775,584.16