Finding the Third Proportional to 112,838.50 and 178,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,838.50 : 178,505.50 = 178,505.50 : x
2. Step 2: Convert to fraction form
   112,838.50/178,505.50 = 178,505.50/x
3. Step 3: Cross multiply
   112,838.50x = 178,505.50 × 178,505.50
4. Step 4: Simplify right side
   112,838.50x = 31,864,213,530.25
5. Step 5: Solve for x
   x = 31,864,213,530.25/112,838.50
6. Step 6: Final answer
   x = 282,387.78