Finding the Third Proportional to 90,622.50 and 195,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,622.50 : 195,823.50 = 195,823.50 : x
2. Step 2: Convert to fraction form
   90,622.50/195,823.50 = 195,823.50/x
3. Step 3: Cross multiply
   90,622.50x = 195,823.50 × 195,823.50
4. Step 4: Simplify right side
   90,622.50x = 38,346,843,152.25
5. Step 5: Solve for x
   x = 38,346,843,152.25/90,622.50
6. Step 6: Final answer
   x = 423,149.25