Finding the Third Proportional to 175,699 and 385,256

Step by Step Solution

1. Step 1: Write the proportion equation
   175,699 : 385,256 = 385,256 : x
2. Step 2: Convert to fraction form
   175,699/385,256 = 385,256/x
3. Step 3: Cross multiply
   175,699x = 385,256 × 385,256
4. Step 4: Simplify right side
   175,699x = 148,422,185,536
5. Step 5: Solve for x
   x = 148,422,185,536/175,699
6. Step 6: Final answer
   x = 844,752.59