Finding the Third Proportional to 201,142 and 418,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,142 : 418,969.50 = 418,969.50 : x
2. Step 2: Convert to fraction form
   201,142/418,969.50 = 418,969.50/x
3. Step 3: Cross multiply
   201,142x = 418,969.50 × 418,969.50
4. Step 4: Simplify right side
   201,142x = 175,535,441,930.25
5. Step 5: Solve for x
   x = 175,535,441,930.25/201,142
6. Step 6: Final answer
   x = 872,694.13