Finding the Third Proportional to 193,225.50 and 412,128

Step by Step Solution

1. Step 1: Write the proportion equation
   193,225.50 : 412,128 = 412,128 : x
2. Step 2: Convert to fraction form
   193,225.50/412,128 = 412,128/x
3. Step 3: Cross multiply
   193,225.50x = 412,128 × 412,128
4. Step 4: Simplify right side
   193,225.50x = 169,849,488,384
5. Step 5: Solve for x
   x = 169,849,488,384/193,225.50
6. Step 6: Final answer
   x = 879,022.12