Finding the Third Proportional to 175,594 and 384,644

Step by Step Solution

1. Step 1: Write the proportion equation
   175,594 : 384,644 = 384,644 : x
2. Step 2: Convert to fraction form
   175,594/384,644 = 384,644/x
3. Step 3: Cross multiply
   175,594x = 384,644 × 384,644
4. Step 4: Simplify right side
   175,594x = 147,951,006,736
5. Step 5: Solve for x
   x = 147,951,006,736/175,594
6. Step 6: Final answer
   x = 842,574.39