Finding the Third Proportional to 82,602 and 114,930

Step by Step Solution

1. Step 1: Write the proportion equation
   82,602 : 114,930 = 114,930 : x
2. Step 2: Convert to fraction form
   82,602/114,930 = 114,930/x
3. Step 3: Cross multiply
   82,602x = 114,930 × 114,930
4. Step 4: Simplify right side
   82,602x = 13,208,904,900
5. Step 5: Solve for x
   x = 13,208,904,900/82,602
6. Step 6: Final answer
   x = 159,910.23