Finding the Third Proportional to 38,834.25 and 83,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,834.25 : 83,332.50 = 83,332.50 : x
2. Step 2: Convert to fraction form
   38,834.25/83,332.50 = 83,332.50/x
3. Step 3: Cross multiply
   38,834.25x = 83,332.50 × 83,332.50
4. Step 4: Simplify right side
   38,834.25x = 6,944,305,556.25
5. Step 5: Solve for x
   x = 6,944,305,556.25/38,834.25
6. Step 6: Final answer
   x = 178,819.10