Finding the Third Proportional to 423,838.50 and 594,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   423,838.50 : 594,007.50 = 594,007.50 : x
2. Step 2: Convert to fraction form
   423,838.50/594,007.50 = 594,007.50/x
3. Step 3: Cross multiply
   423,838.50x = 594,007.50 × 594,007.50
4. Step 4: Simplify right side
   423,838.50x = 352,844,910,056.25
5. Step 5: Solve for x
   x = 352,844,910,056.25/423,838.50
6. Step 6: Final answer
   x = 832,498.49