Finding the Third Proportional to 193,234.50 and 413,005

Step by Step Solution

1. Step 1: Write the proportion equation
   193,234.50 : 413,005 = 413,005 : x
2. Step 2: Convert to fraction form
   193,234.50/413,005 = 413,005/x
3. Step 3: Cross multiply
   193,234.50x = 413,005 × 413,005
4. Step 4: Simplify right side
   193,234.50x = 170,573,130,025
5. Step 5: Solve for x
   x = 170,573,130,025/193,234.50
6. Step 6: Final answer
   x = 882,726.07