Finding the Third Proportional to 82,240 and 176,156

Step by Step Solution

1. Step 1: Write the proportion equation
   82,240 : 176,156 = 176,156 : x
2. Step 2: Convert to fraction form
   82,240/176,156 = 176,156/x
3. Step 3: Cross multiply
   82,240x = 176,156 × 176,156
4. Step 4: Simplify right side
   82,240x = 31,030,936,336
5. Step 5: Solve for x
   x = 31,030,936,336/82,240
6. Step 6: Final answer
   x = 377,321.70