Finding the Third Proportional to 189,378 and 414,385.88

Step by Step Solution

1. Step 1: Write the proportion equation
   189,378 : 414,385.88 = 414,385.88 : x
2. Step 2: Convert to fraction form
   189,378/414,385.88 = 414,385.88/x
3. Step 3: Cross multiply
   189,378x = 414,385.88 × 414,385.88
4. Step 4: Simplify right side
   189,378x = 171,715,653,399.52
5. Step 5: Solve for x
   x = 171,715,653,399.52/189,378
6. Step 6: Final answer
   x = 906,734.96