Finding the Third Proportional to 189,442.13 and 414,558

Step by Step Solution

1. Step 1: Write the proportion equation
   189,442.13 : 414,558 = 414,558 : x
2. Step 2: Convert to fraction form
   189,442.13/414,558 = 414,558/x
3. Step 3: Cross multiply
   189,442.13x = 414,558 × 414,558
4. Step 4: Simplify right side
   189,442.13x = 171,858,335,364
5. Step 5: Solve for x
   x = 171,858,335,364/189,442.13
6. Step 6: Final answer
   x = 907,181.21