Finding the Third Proportional to 93,682 and 200,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   93,682 : 200,749.50 = 200,749.50 : x
2. Step 2: Convert to fraction form
   93,682/200,749.50 = 200,749.50/x
3. Step 3: Cross multiply
   93,682x = 200,749.50 × 200,749.50
4. Step 4: Simplify right side
   93,682x = 40,300,361,750.25
5. Step 5: Solve for x
   x = 40,300,361,750.25/93,682
6. Step 6: Final answer
   x = 430,182.55