Finding the Third Proportional to 126,672.50 and 178,139

Step by Step Solution

1. Step 1: Write the proportion equation
   126,672.50 : 178,139 = 178,139 : x
2. Step 2: Convert to fraction form
   126,672.50/178,139 = 178,139/x
3. Step 3: Cross multiply
   126,672.50x = 178,139 × 178,139
4. Step 4: Simplify right side
   126,672.50x = 31,733,503,321
5. Step 5: Solve for x
   x = 31,733,503,321/126,672.50
6. Step 6: Final answer
   x = 250,516.12