Finding the Third Proportional to 83,637 and 131,184

Step by Step Solution

1. Step 1: Write the proportion equation
   83,637 : 131,184 = 131,184 : x
2. Step 2: Convert to fraction form
   83,637/131,184 = 131,184/x
3. Step 3: Cross multiply
   83,637x = 131,184 × 131,184
4. Step 4: Simplify right side
   83,637x = 17,209,241,856
5. Step 5: Solve for x
   x = 17,209,241,856/83,637
6. Step 6: Final answer
   x = 205,761.11