Finding the Third Proportional to 90,225 and 195,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,225 : 195,826.50 = 195,826.50 : x
2. Step 2: Convert to fraction form
   90,225/195,826.50 = 195,826.50/x
3. Step 3: Cross multiply
   90,225x = 195,826.50 × 195,826.50
4. Step 4: Simplify right side
   90,225x = 38,348,018,102.25
5. Step 5: Solve for x
   x = 38,348,018,102.25/90,225
6. Step 6: Final answer
   x = 425,026.52