Finding the Third Proportional to 175,083 and 384,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,083 : 384,205.50 = 384,205.50 : x
2. Step 2: Convert to fraction form
   175,083/384,205.50 = 384,205.50/x
3. Step 3: Cross multiply
   175,083x = 384,205.50 × 384,205.50
4. Step 4: Simplify right side
   175,083x = 147,613,866,230.25
5. Step 5: Solve for x
   x = 147,613,866,230.25/175,083
6. Step 6: Final answer
   x = 843,107.93