Finding the Third Proportional to 38,324.25 and 83,398.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,324.25 : 83,398.50 = 83,398.50 : x
2. Step 2: Convert to fraction form
   38,324.25/83,398.50 = 83,398.50/x
3. Step 3: Cross multiply
   38,324.25x = 83,398.50 × 83,398.50
4. Step 4: Simplify right side
   38,324.25x = 6,955,309,802.25
5. Step 5: Solve for x
   x = 6,955,309,802.25/38,324.25
6. Step 6: Final answer
   x = 181,485.87