Finding the Third Proportional to 201,505.50 and 423,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   201,505.50 : 423,688.50 = 423,688.50 : x
2. Step 2: Convert to fraction form
   201,505.50/423,688.50 = 423,688.50/x
3. Step 3: Cross multiply
   201,505.50x = 423,688.50 × 423,688.50
4. Step 4: Simplify right side
   201,505.50x = 179,511,945,032.25
5. Step 5: Solve for x
   x = 179,511,945,032.25/201,505.50
6. Step 6: Final answer
   x = 890,853.82