Finding the Third Proportional to 84,780 and 112,504

Step by Step Solution

1. Step 1: Write the proportion equation
   84,780 : 112,504 = 112,504 : x
2. Step 2: Convert to fraction form
   84,780/112,504 = 112,504/x
3. Step 3: Cross multiply
   84,780x = 112,504 × 112,504
4. Step 4: Simplify right side
   84,780x = 12,657,150,016
5. Step 5: Solve for x
   x = 12,657,150,016/84,780
6. Step 6: Final answer
   x = 149,294.06