Finding the Third Proportional to 82,762 and 178,644

Step by Step Solution

1. Step 1: Write the proportion equation
   82,762 : 178,644 = 178,644 : x
2. Step 2: Convert to fraction form
   82,762/178,644 = 178,644/x
3. Step 3: Cross multiply
   82,762x = 178,644 × 178,644
4. Step 4: Simplify right side
   82,762x = 31,913,678,736
5. Step 5: Solve for x
   x = 31,913,678,736/82,762
6. Step 6: Final answer
   x = 385,607.87