Finding the Third Proportional to 83,075 and 182,764

Step by Step Solution

1. Step 1: Write the proportion equation
   83,075 : 182,764 = 182,764 : x
2. Step 2: Convert to fraction form
   83,075/182,764 = 182,764/x
3. Step 3: Cross multiply
   83,075x = 182,764 × 182,764
4. Step 4: Simplify right side
   83,075x = 33,402,679,696
5. Step 5: Solve for x
   x = 33,402,679,696/83,075
6. Step 6: Final answer
   x = 402,078.60