Finding the Third Proportional to 175,322 and 384,014

Step by Step Solution

1. Step 1: Write the proportion equation
   175,322 : 384,014 = 384,014 : x
2. Step 2: Convert to fraction form
   175,322/384,014 = 384,014/x
3. Step 3: Cross multiply
   175,322x = 384,014 × 384,014
4. Step 4: Simplify right side
   175,322x = 147,466,752,196
5. Step 5: Solve for x
   x = 147,466,752,196/175,322
6. Step 6: Final answer
   x = 841,119.50