Finding the Third Proportional to 83,284 and 132,458

Step by Step Solution

1. Step 1: Write the proportion equation
   83,284 : 132,458 = 132,458 : x
2. Step 2: Convert to fraction form
   83,284/132,458 = 132,458/x
3. Step 3: Cross multiply
   83,284x = 132,458 × 132,458
4. Step 4: Simplify right side
   83,284x = 17,545,121,764
5. Step 5: Solve for x
   x = 17,545,121,764/83,284
6. Step 6: Final answer
   x = 210,666.18