Finding the Third Proportional to 89,036 and 195,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,036 : 195,567.50 = 195,567.50 : x
2. Step 2: Convert to fraction form
   89,036/195,567.50 = 195,567.50/x
3. Step 3: Cross multiply
   89,036x = 195,567.50 × 195,567.50
4. Step 4: Simplify right side
   89,036x = 38,246,647,056.25
5. Step 5: Solve for x
   x = 38,246,647,056.25/89,036
6. Step 6: Final answer
   x = 429,563.85