Finding the Third Proportional to 201,196.50 and 434,007

Step by Step Solution

1. Step 1: Write the proportion equation
   201,196.50 : 434,007 = 434,007 : x
2. Step 2: Convert to fraction form
   201,196.50/434,007 = 434,007/x
3. Step 3: Cross multiply
   201,196.50x = 434,007 × 434,007
4. Step 4: Simplify right side
   201,196.50x = 188,362,076,049
5. Step 5: Solve for x
   x = 188,362,076,049/201,196.50
6. Step 6: Final answer
   x = 936,209.51