Finding the Third Proportional to 146,742.19 and 209,348.72

Step by Step Solution

1. Step 1: Write the proportion equation
   146,742.19 : 209,348.72 = 209,348.72 : x
2. Step 2: Convert to fraction form
   146,742.19/209,348.72 = 209,348.72/x
3. Step 3: Cross multiply
   146,742.19x = 209,348.72 × 209,348.72
4. Step 4: Simplify right side
   146,742.19x = 43,826,886,042.27
5. Step 5: Solve for x
   x = 43,826,886,042.27/146,742.19
6. Step 6: Final answer
   x = 298,665.89