Finding the Third Proportional to 83,085 and 182,784

Step by Step Solution

1. Step 1: Write the proportion equation
   83,085 : 182,784 = 182,784 : x
2. Step 2: Convert to fraction form
   83,085/182,784 = 182,784/x
3. Step 3: Cross multiply
   83,085x = 182,784 × 182,784
4. Step 4: Simplify right side
   83,085x = 33,409,990,656
5. Step 5: Solve for x
   x = 33,409,990,656/83,085
6. Step 6: Final answer
   x = 402,118.20