Finding the Third Proportional to 72,079 and 107,830

Step by Step Solution

1. Step 1: Write the proportion equation
   72,079 : 107,830 = 107,830 : x
2. Step 2: Convert to fraction form
   72,079/107,830 = 107,830/x
3. Step 3: Cross multiply
   72,079x = 107,830 × 107,830
4. Step 4: Simplify right side
   72,079x = 11,627,308,900
5. Step 5: Solve for x
   x = 11,627,308,900/72,079
6. Step 6: Final answer
   x = 161,313.40