Finding the Third Proportional to 83,310 and 178,932

Step by Step Solution

1. Step 1: Write the proportion equation
   83,310 : 178,932 = 178,932 : x
2. Step 2: Convert to fraction form
   83,310/178,932 = 178,932/x
3. Step 3: Cross multiply
   83,310x = 178,932 × 178,932
4. Step 4: Simplify right side
   83,310x = 32,016,660,624
5. Step 5: Solve for x
   x = 32,016,660,624/83,310
6. Step 6: Final answer
   x = 384,307.53