Finding the Third Proportional to 301,827 and 423,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,827 : 423,037.50 = 423,037.50 : x
2. Step 2: Convert to fraction form
   301,827/423,037.50 = 423,037.50/x
3. Step 3: Cross multiply
   301,827x = 423,037.50 × 423,037.50
4. Step 4: Simplify right side
   301,827x = 178,960,726,406.25
5. Step 5: Solve for x
   x = 178,960,726,406.25/301,827
6. Step 6: Final answer
   x = 592,924.84