Finding the Third Proportional to 201,774 and 442,732.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,774 : 442,732.50 = 442,732.50 : x
2. Step 2: Convert to fraction form
   201,774/442,732.50 = 442,732.50/x
3. Step 3: Cross multiply
   201,774x = 442,732.50 × 442,732.50
4. Step 4: Simplify right side
   201,774x = 196,012,066,556.25
5. Step 5: Solve for x
   x = 196,012,066,556.25/201,774
6. Step 6: Final answer
   x = 971,443.63