Finding the Third Proportional to 82,012 and 133,916

Step by Step Solution

1. Step 1: Write the proportion equation
   82,012 : 133,916 = 133,916 : x
2. Step 2: Convert to fraction form
   82,012/133,916 = 133,916/x
3. Step 3: Cross multiply
   82,012x = 133,916 × 133,916
4. Step 4: Simplify right side
   82,012x = 17,933,495,056
5. Step 5: Solve for x
   x = 17,933,495,056/82,012
6. Step 6: Final answer
   x = 218,669.16