Finding the Third Proportional to 83,039 and 132,194

Step by Step Solution

1. Step 1: Write the proportion equation
   83,039 : 132,194 = 132,194 : x
2. Step 2: Convert to fraction form
   83,039/132,194 = 132,194/x
3. Step 3: Cross multiply
   83,039x = 132,194 × 132,194
4. Step 4: Simplify right side
   83,039x = 17,475,253,636
5. Step 5: Solve for x
   x = 17,475,253,636/83,039
6. Step 6: Final answer
   x = 210,446.34