Finding the Third Proportional to 83,075.63 and 182,766.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,075.63 : 182,766.38 = 182,766.38 : x
2. Step 2: Convert to fraction form
   83,075.63/182,766.38 = 182,766.38/x
3. Step 3: Cross multiply
   83,075.63x = 182,766.38 × 182,766.38
4. Step 4: Simplify right side
   83,075.63x = 33,403,547,830.64
5. Step 5: Solve for x
   x = 33,403,547,830.64/83,075.63
6. Step 6: Final answer
   x = 402,086.03