Finding the Third Proportional to 84,704 and 111,384

Step by Step Solution

1. Step 1: Write the proportion equation
   84,704 : 111,384 = 111,384 : x
2. Step 2: Convert to fraction form
   84,704/111,384 = 111,384/x
3. Step 3: Cross multiply
   84,704x = 111,384 × 111,384
4. Step 4: Simplify right side
   84,704x = 12,406,395,456
5. Step 5: Solve for x
   x = 12,406,395,456/84,704
6. Step 6: Final answer
   x = 146,467.65