Finding the Third Proportional to 72,832 and 114,444

Step by Step Solution

1. Step 1: Write the proportion equation
   72,832 : 114,444 = 114,444 : x
2. Step 2: Convert to fraction form
   72,832/114,444 = 114,444/x
3. Step 3: Cross multiply
   72,832x = 114,444 × 114,444
4. Step 4: Simplify right side
   72,832x = 13,097,429,136
5. Step 5: Solve for x
   x = 13,097,429,136/72,832
6. Step 6: Final answer
   x = 179,830.69