Finding the Third Proportional to 89,743 and 195,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,743 : 195,784.50 = 195,784.50 : x
2. Step 2: Convert to fraction form
   89,743/195,784.50 = 195,784.50/x
3. Step 3: Cross multiply
   89,743x = 195,784.50 × 195,784.50
4. Step 4: Simplify right side
   89,743x = 38,331,570,440.25
5. Step 5: Solve for x
   x = 38,331,570,440.25/89,743
6. Step 6: Final answer
   x = 427,126.02