Finding the Third Proportional to 193,255.50 and 412,188

Step by Step Solution

1. Step 1: Write the proportion equation
   193,255.50 : 412,188 = 412,188 : x
2. Step 2: Convert to fraction form
   193,255.50/412,188 = 412,188/x
3. Step 3: Cross multiply
   193,255.50x = 412,188 × 412,188
4. Step 4: Simplify right side
   193,255.50x = 169,898,947,344
5. Step 5: Solve for x
   x = 169,898,947,344/193,255.50
6. Step 6: Final answer
   x = 879,141.59