Finding the Third Proportional to 72,591 and 114,072

Step by Step Solution

1. Step 1: Write the proportion equation
   72,591 : 114,072 = 114,072 : x
2. Step 2: Convert to fraction form
   72,591/114,072 = 114,072/x
3. Step 3: Cross multiply
   72,591x = 114,072 × 114,072
4. Step 4: Simplify right side
   72,591x = 13,012,421,184
5. Step 5: Solve for x
   x = 13,012,421,184/72,591
6. Step 6: Final answer
   x = 179,256.67