Finding the Third Proportional to 77,571 and 111,844

Step by Step Solution

1. Step 1: Write the proportion equation
   77,571 : 111,844 = 111,844 : x
2. Step 2: Convert to fraction form
   77,571/111,844 = 111,844/x
3. Step 3: Cross multiply
   77,571x = 111,844 × 111,844
4. Step 4: Simplify right side
   77,571x = 12,509,080,336
5. Step 5: Solve for x
   x = 12,509,080,336/77,571
6. Step 6: Final answer
   x = 161,259.75