Finding the Third Proportional to 175,585.50 and 384,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,585.50 : 384,628.50 = 384,628.50 : x
2. Step 2: Convert to fraction form
   175,585.50/384,628.50 = 384,628.50/x
3. Step 3: Cross multiply
   175,585.50x = 384,628.50 × 384,628.50
4. Step 4: Simplify right side
   175,585.50x = 147,939,083,012.25
5. Step 5: Solve for x
   x = 147,939,083,012.25/175,585.50
6. Step 6: Final answer
   x = 842,547.27