Finding the Third Proportional to 82,291.78 and 177,071.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82,291.78 : 177,071.06 = 177,071.06 : x
2. Step 2: Convert to fraction form
   82,291.78/177,071.06 = 177,071.06/x
3. Step 3: Cross multiply
   82,291.78x = 177,071.06 × 177,071.06
4. Step 4: Simplify right side
   82,291.78x = 31,354,161,174.88
5. Step 5: Solve for x
   x = 31,354,161,174.88/82,291.78
6. Step 6: Final answer
   x = 381,012.06