Finding the Third Proportional to 112,741 and 178,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   112,741 : 178,387.50 = 178,387.50 : x
2. Step 2: Convert to fraction form
   112,741/178,387.50 = 178,387.50/x
3. Step 3: Cross multiply
   112,741x = 178,387.50 × 178,387.50
4. Step 4: Simplify right side
   112,741x = 31,822,100,156.25
5. Step 5: Solve for x
   x = 31,822,100,156.25/112,741
6. Step 6: Final answer
   x = 282,258.45