Finding the Third Proportional to 193,788 and 417,144

Step by Step Solution

1. Step 1: Write the proportion equation
   193,788 : 417,144 = 417,144 : x
2. Step 2: Convert to fraction form
   193,788/417,144 = 417,144/x
3. Step 3: Cross multiply
   193,788x = 417,144 × 417,144
4. Step 4: Simplify right side
   193,788x = 174,009,116,736
5. Step 5: Solve for x
   x = 174,009,116,736/193,788
6. Step 6: Final answer
   x = 897,935.46