Finding the Third Proportional to 83,075 and 177,025

Step by Step Solution

1. Step 1: Write the proportion equation
   83,075 : 177,025 = 177,025 : x
2. Step 2: Convert to fraction form
   83,075/177,025 = 177,025/x
3. Step 3: Cross multiply
   83,075x = 177,025 × 177,025
4. Step 4: Simplify right side
   83,075x = 31,337,850,625
5. Step 5: Solve for x
   x = 31,337,850,625/83,075
6. Step 6: Final answer
   x = 377,223.60