Finding the Third Proportional to 83,096.25 and 176,161.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,096.25 : 176,161.50 = 176,161.50 : x
2. Step 2: Convert to fraction form
   83,096.25/176,161.50 = 176,161.50/x
3. Step 3: Cross multiply
   83,096.25x = 176,161.50 × 176,161.50
4. Step 4: Simplify right side
   83,096.25x = 31,032,874,082.25
5. Step 5: Solve for x
   x = 31,032,874,082.25/83,096.25
6. Step 6: Final answer
   x = 373,456.97