Finding the Third Proportional to 38,178 and 83,132.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,178 : 83,132.38 = 83,132.38 : x
2. Step 2: Convert to fraction form
   38,178/83,132.38 = 83,132.38/x
3. Step 3: Cross multiply
   38,178x = 83,132.38 × 83,132.38
4. Step 4: Simplify right side
   38,178x = 6,910,991,773.14
5. Step 5: Solve for x
   x = 6,910,991,773.14/38,178
6. Step 6: Final answer
   x = 181,020.27