Finding the Third Proportional to 82,135.31 and 178,212.56

Step by Step Solution

1. Step 1: Write the proportion equation
   82,135.31 : 178,212.56 = 178,212.56 : x
2. Step 2: Convert to fraction form
   82,135.31/178,212.56 = 178,212.56/x
3. Step 3: Cross multiply
   82,135.31x = 178,212.56 × 178,212.56
4. Step 4: Simplify right side
   82,135.31x = 31,759,717,432.82
5. Step 5: Solve for x
   x = 31,759,717,432.82/82,135.31
6. Step 6: Final answer
   x = 386,675.55