Finding the Third Proportional to 89,853 and 192,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,853 : 192,826.50 = 192,826.50 : x
2. Step 2: Convert to fraction form
   89,853/192,826.50 = 192,826.50/x
3. Step 3: Cross multiply
   89,853x = 192,826.50 × 192,826.50
4. Step 4: Simplify right side
   89,853x = 37,182,059,102.25
5. Step 5: Solve for x
   x = 37,182,059,102.25/89,853
6. Step 6: Final answer
   x = 413,809.88