Finding the Third Proportional to 38,510 and 83,338

Step by Step Solution

1. Step 1: Write the proportion equation
   38,510 : 83,338 = 83,338 : x
2. Step 2: Convert to fraction form
   38,510/83,338 = 83,338/x
3. Step 3: Cross multiply
   38,510x = 83,338 × 83,338
4. Step 4: Simplify right side
   38,510x = 6,945,222,244
5. Step 5: Solve for x
   x = 6,945,222,244/38,510
6. Step 6: Final answer
   x = 180,348.54