Finding the Third Proportional to 77,989 and 111,526

Step by Step Solution

1. Step 1: Write the proportion equation
   77,989 : 111,526 = 111,526 : x
2. Step 2: Convert to fraction form
   77,989/111,526 = 111,526/x
3. Step 3: Cross multiply
   77,989x = 111,526 × 111,526
4. Step 4: Simplify right side
   77,989x = 12,438,048,676
5. Step 5: Solve for x
   x = 12,438,048,676/77,989
6. Step 6: Final answer
   x = 159,484.65