Finding the Third Proportional to 38,256.88 and 83,288.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,256.88 : 83,288.38 = 83,288.38 : x
2. Step 2: Convert to fraction form
   38,256.88/83,288.38 = 83,288.38/x
3. Step 3: Cross multiply
   38,256.88x = 83,288.38 × 83,288.38
4. Step 4: Simplify right side
   38,256.88x = 6,936,953,410.14
5. Step 5: Solve for x
   x = 6,936,953,410.14/38,256.88
6. Step 6: Final answer
   x = 181,325.67