Finding the Third Proportional to 38,238 and 83,388

Step by Step Solution

1. Step 1: Write the proportion equation
   38,238 : 83,388 = 83,388 : x
2. Step 2: Convert to fraction form
   38,238/83,388 = 83,388/x
3. Step 3: Cross multiply
   38,238x = 83,388 × 83,388
4. Step 4: Simplify right side
   38,238x = 6,953,558,544
5. Step 5: Solve for x
   x = 6,953,558,544/38,238
6. Step 6: Final answer
   x = 181,849.43