Finding the Third Proportional to 86,072 and 123,969

Step by Step Solution

1. Step 1: Write the proportion equation
   86,072 : 123,969 = 123,969 : x
2. Step 2: Convert to fraction form
   86,072/123,969 = 123,969/x
3. Step 3: Cross multiply
   86,072x = 123,969 × 123,969
4. Step 4: Simplify right side
   86,072x = 15,368,312,961
5. Step 5: Solve for x
   x = 15,368,312,961/86,072
6. Step 6: Final answer
   x = 178,551.83