Finding the Third Proportional to 85,519 and 182,111

Step by Step Solution

1. Step 1: Write the proportion equation
   85,519 : 182,111 = 182,111 : x
2. Step 2: Convert to fraction form
   85,519/182,111 = 182,111/x
3. Step 3: Cross multiply
   85,519x = 182,111 × 182,111
4. Step 4: Simplify right side
   85,519x = 33,164,416,321
5. Step 5: Solve for x
   x = 33,164,416,321/85,519
6. Step 6: Final answer
   x = 387,801.73