Finding the Third Proportional to 83,982 and 175,074

Step by Step Solution

1. Step 1: Write the proportion equation
   83,982 : 175,074 = 175,074 : x
2. Step 2: Convert to fraction form
   83,982/175,074 = 175,074/x
3. Step 3: Cross multiply
   83,982x = 175,074 × 175,074
4. Step 4: Simplify right side
   83,982x = 30,650,905,476
5. Step 5: Solve for x
   x = 30,650,905,476/83,982
6. Step 6: Final answer
   x = 364,969.94