Finding the Third Proportional to 201,200.50 and 418,929.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,200.50 : 418,929.50 = 418,929.50 : x
2. Step 2: Convert to fraction form
   201,200.50/418,929.50 = 418,929.50/x
3. Step 3: Cross multiply
   201,200.50x = 418,929.50 × 418,929.50
4. Step 4: Simplify right side
   201,200.50x = 175,501,925,970.25
5. Step 5: Solve for x
   x = 175,501,925,970.25/201,200.50
6. Step 6: Final answer
   x = 872,273.81