Finding the Third Proportional to 61,538 and 132,930

Step by Step Solution

1. Step 1: Write the proportion equation
   61,538 : 132,930 = 132,930 : x
2. Step 2: Convert to fraction form
   61,538/132,930 = 132,930/x
3. Step 3: Cross multiply
   61,538x = 132,930 × 132,930
4. Step 4: Simplify right side
   61,538x = 17,670,384,900
5. Step 5: Solve for x
   x = 17,670,384,900/61,538
6. Step 6: Final answer
   x = 287,145.91