Finding the Third Proportional to 81,902.81 and 178,959.38

Step by Step Solution

1. Step 1: Write the proportion equation
   81,902.81 : 178,959.38 = 178,959.38 : x
2. Step 2: Convert to fraction form
   81,902.81/178,959.38 = 178,959.38/x
3. Step 3: Cross multiply
   81,902.81x = 178,959.38 × 178,959.38
4. Step 4: Simplify right side
   81,902.81x = 32,026,457,900.39
5. Step 5: Solve for x
   x = 32,026,457,900.39/81,902.81
6. Step 6: Final answer
   x = 391,030.01