Finding the Third Proportional to 72,586 and 114,064

Step by Step Solution

1. Step 1: Write the proportion equation
   72,586 : 114,064 = 114,064 : x
2. Step 2: Convert to fraction form
   72,586/114,064 = 114,064/x
3. Step 3: Cross multiply
   72,586x = 114,064 × 114,064
4. Step 4: Simplify right side
   72,586x = 13,010,596,096
5. Step 5: Solve for x
   x = 13,010,596,096/72,586
6. Step 6: Final answer
   x = 179,243.88