Finding the Third Proportional to 45,598 and 72,843

Step by Step Solution

1. Step 1: Write the proportion equation
   45,598 : 72,843 = 72,843 : x
2. Step 2: Convert to fraction form
   45,598/72,843 = 72,843/x
3. Step 3: Cross multiply
   45,598x = 72,843 × 72,843
4. Step 4: Simplify right side
   45,598x = 5,306,102,649
5. Step 5: Solve for x
   x = 5,306,102,649/45,598
6. Step 6: Final answer
   x = 116,367.00