Finding the Third Proportional to 82,113 and 176,886

Step by Step Solution

1. Step 1: Write the proportion equation
   82,113 : 176,886 = 176,886 : x
2. Step 2: Convert to fraction form
   82,113/176,886 = 176,886/x
3. Step 3: Cross multiply
   82,113x = 176,886 × 176,886
4. Step 4: Simplify right side
   82,113x = 31,288,656,996
5. Step 5: Solve for x
   x = 31,288,656,996/82,113
6. Step 6: Final answer
   x = 381,043.89