Finding the Third Proportional to 201,478.50 and 423,642

Step by Step Solution

1. Step 1: Write the proportion equation
   201,478.50 : 423,642 = 423,642 : x
2. Step 2: Convert to fraction form
   201,478.50/423,642 = 423,642/x
3. Step 3: Cross multiply
   201,478.50x = 423,642 × 423,642
4. Step 4: Simplify right side
   201,478.50x = 179,472,544,164
5. Step 5: Solve for x
   x = 179,472,544,164/201,478.50
6. Step 6: Final answer
   x = 890,777.65