Finding the Third Proportional to 138,957 and 282,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,957 : 282,823.50 = 282,823.50 : x
2. Step 2: Convert to fraction form
   138,957/282,823.50 = 282,823.50/x
3. Step 3: Cross multiply
   138,957x = 282,823.50 × 282,823.50
4. Step 4: Simplify right side
   138,957x = 79,989,132,152.25
5. Step 5: Solve for x
   x = 79,989,132,152.25/138,957
6. Step 6: Final answer
   x = 575,639.46