Finding the Third Proportional to 83,896 and 182,528

Step by Step Solution

1. Step 1: Write the proportion equation
   83,896 : 182,528 = 182,528 : x
2. Step 2: Convert to fraction form
   83,896/182,528 = 182,528/x
3. Step 3: Cross multiply
   83,896x = 182,528 × 182,528
4. Step 4: Simplify right side
   83,896x = 33,316,470,784
5. Step 5: Solve for x
   x = 33,316,470,784/83,896
6. Step 6: Final answer
   x = 397,116.32