Finding the Third Proportional to 189,384 and 438,468

Step by Step Solution

1. Step 1: Write the proportion equation
   189,384 : 438,468 = 438,468 : x
2. Step 2: Convert to fraction form
   189,384/438,468 = 438,468/x
3. Step 3: Cross multiply
   189,384x = 438,468 × 438,468
4. Step 4: Simplify right side
   189,384x = 192,254,187,024
5. Step 5: Solve for x
   x = 192,254,187,024/189,384
6. Step 6: Final answer
   x = 1,015,155.38