Finding the Third Proportional to 82,133 and 176,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,133 : 176,535.50 = 176,535.50 : x
2. Step 2: Convert to fraction form
   82,133/176,535.50 = 176,535.50/x
3. Step 3: Cross multiply
   82,133x = 176,535.50 × 176,535.50
4. Step 4: Simplify right side
   82,133x = 31,164,782,760.25
5. Step 5: Solve for x
   x = 31,164,782,760.25/82,133
6. Step 6: Final answer
   x = 379,442.89