Finding the Third Proportional to 112,573.50 and 178,257

Step by Step Solution

1. Step 1: Write the proportion equation
   112,573.50 : 178,257 = 178,257 : x
2. Step 2: Convert to fraction form
   112,573.50/178,257 = 178,257/x
3. Step 3: Cross multiply
   112,573.50x = 178,257 × 178,257
4. Step 4: Simplify right side
   112,573.50x = 31,775,558,049
5. Step 5: Solve for x
   x = 31,775,558,049/112,573.50
6. Step 6: Final answer
   x = 282,264.99