Finding the Third Proportional to 89,715 and 194,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,715 : 194,293.50 = 194,293.50 : x
2. Step 2: Convert to fraction form
   89,715/194,293.50 = 194,293.50/x
3. Step 3: Cross multiply
   89,715x = 194,293.50 × 194,293.50
4. Step 4: Simplify right side
   89,715x = 37,749,964,142.25
5. Step 5: Solve for x
   x = 37,749,964,142.25/89,715
6. Step 6: Final answer
   x = 420,776.50