Finding the Third Proportional to 193,738.50 and 417,162

Step by Step Solution

1. Step 1: Write the proportion equation
   193,738.50 : 417,162 = 417,162 : x
2. Step 2: Convert to fraction form
   193,738.50/417,162 = 417,162/x
3. Step 3: Cross multiply
   193,738.50x = 417,162 × 417,162
4. Step 4: Simplify right side
   193,738.50x = 174,024,134,244
5. Step 5: Solve for x
   x = 174,024,134,244/193,738.50
6. Step 6: Final answer
   x = 898,242.40