Finding the Third Proportional to 78,386 and 111,699

Step by Step Solution

1. Step 1: Write the proportion equation
   78,386 : 111,699 = 111,699 : x
2. Step 2: Convert to fraction form
   78,386/111,699 = 111,699/x
3. Step 3: Cross multiply
   78,386x = 111,699 × 111,699
4. Step 4: Simplify right side
   78,386x = 12,476,666,601
5. Step 5: Solve for x
   x = 12,476,666,601/78,386
6. Step 6: Final answer
   x = 159,169.58