Finding the Third Proportional to 85,523 and 182,118

Step by Step Solution

1. Step 1: Write the proportion equation
   85,523 : 182,118 = 182,118 : x
2. Step 2: Convert to fraction form
   85,523/182,118 = 182,118/x
3. Step 3: Cross multiply
   85,523x = 182,118 × 182,118
4. Step 4: Simplify right side
   85,523x = 33,166,965,924
5. Step 5: Solve for x
   x = 33,166,965,924/85,523
6. Step 6: Final answer
   x = 387,813.41