Finding the Third Proportional to 193,233.50 and 413,003

Step by Step Solution

1. Step 1: Write the proportion equation
   193,233.50 : 413,003 = 413,003 : x
2. Step 2: Convert to fraction form
   193,233.50/413,003 = 413,003/x
3. Step 3: Cross multiply
   193,233.50x = 413,003 × 413,003
4. Step 4: Simplify right side
   193,233.50x = 170,571,478,009
5. Step 5: Solve for x
   x = 170,571,478,009/193,233.50
6. Step 6: Final answer
   x = 882,722.08