Finding the Third Proportional to 126,547.50 and 178,005

Step by Step Solution

1. Step 1: Write the proportion equation
   126,547.50 : 178,005 = 178,005 : x
2. Step 2: Convert to fraction form
   126,547.50/178,005 = 178,005/x
3. Step 3: Cross multiply
   126,547.50x = 178,005 × 178,005
4. Step 4: Simplify right side
   126,547.50x = 31,685,780,025
5. Step 5: Solve for x
   x = 31,685,780,025/126,547.50
6. Step 6: Final answer
   x = 250,386.46