Finding the Third Proportional to 82,626 and 178,132

Step by Step Solution

1. Step 1: Write the proportion equation
   82,626 : 178,132 = 178,132 : x
2. Step 2: Convert to fraction form
   82,626/178,132 = 178,132/x
3. Step 3: Cross multiply
   82,626x = 178,132 × 178,132
4. Step 4: Simplify right side
   82,626x = 31,731,009,424
5. Step 5: Solve for x
   x = 31,731,009,424/82,626
6. Step 6: Final answer
   x = 384,031.77