Finding the Third Proportional to 175,694 and 384,700

Step by Step Solution

1. Step 1: Write the proportion equation
   175,694 : 384,700 = 384,700 : x
2. Step 2: Convert to fraction form
   175,694/384,700 = 384,700/x
3. Step 3: Cross multiply
   175,694x = 384,700 × 384,700
4. Step 4: Simplify right side
   175,694x = 147,994,090,000
5. Step 5: Solve for x
   x = 147,994,090,000/175,694
6. Step 6: Final answer
   x = 842,340.03