Finding the Third Proportional to 112,741.50 and 178,388.25

Step by Step Solution

1. Step 1: Write the proportion equation
   112,741.50 : 178,388.25 = 178,388.25 : x
2. Step 2: Convert to fraction form
   112,741.50/178,388.25 = 178,388.25/x
3. Step 3: Cross multiply
   112,741.50x = 178,388.25 × 178,388.25
4. Step 4: Simplify right side
   112,741.50x = 31,822,367,738.06
5. Step 5: Solve for x
   x = 31,822,367,738.06/112,741.50
6. Step 6: Final answer
   x = 282,259.57