Finding the Third Proportional to 83,075.50 and 182,765

Step by Step Solution

1. Step 1: Write the proportion equation
   83,075.50 : 182,765 = 182,765 : x
2. Step 2: Convert to fraction form
   83,075.50/182,765 = 182,765/x
3. Step 3: Cross multiply
   83,075.50x = 182,765 × 182,765
4. Step 4: Simplify right side
   83,075.50x = 33,403,045,225
5. Step 5: Solve for x
   x = 33,403,045,225/83,075.50
6. Step 6: Final answer
   x = 402,080.58