Finding the Third Proportional to 77,569 and 111,841

Step by Step Solution

1. Step 1: Write the proportion equation
   77,569 : 111,841 = 111,841 : x
2. Step 2: Convert to fraction form
   77,569/111,841 = 111,841/x
3. Step 3: Cross multiply
   77,569x = 111,841 × 111,841
4. Step 4: Simplify right side
   77,569x = 12,508,409,281
5. Step 5: Solve for x
   x = 12,508,409,281/77,569
6. Step 6: Final answer
   x = 161,255.26