Finding the Third Proportional to 130,038 and 204,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   130,038 : 204,042.50 = 204,042.50 : x
2. Step 2: Convert to fraction form
   130,038/204,042.50 = 204,042.50/x
3. Step 3: Cross multiply
   130,038x = 204,042.50 × 204,042.50
4. Step 4: Simplify right side
   130,038x = 41,633,341,806.25
5. Step 5: Solve for x
   x = 41,633,341,806.25/130,038
6. Step 6: Final answer
   x = 320,162.89