Finding the Third Proportional to 83,254 and 182,068

Step by Step Solution

1. Step 1: Write the proportion equation
   83,254 : 182,068 = 182,068 : x
2. Step 2: Convert to fraction form
   83,254/182,068 = 182,068/x
3. Step 3: Cross multiply
   83,254x = 182,068 × 182,068
4. Step 4: Simplify right side
   83,254x = 33,148,756,624
5. Step 5: Solve for x
   x = 33,148,756,624/83,254
6. Step 6: Final answer
   x = 398,164.13