Finding the Third Proportional to 38,849.25 and 83,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,849.25 : 83,362.50 = 83,362.50 : x
2. Step 2: Convert to fraction form
   38,849.25/83,362.50 = 83,362.50/x
3. Step 3: Cross multiply
   38,849.25x = 83,362.50 × 83,362.50
4. Step 4: Simplify right side
   38,849.25x = 6,949,306,406.25
5. Step 5: Solve for x
   x = 6,949,306,406.25/38,849.25
6. Step 6: Final answer
   x = 178,878.78