Finding the Third Proportional to 415,978.50 and 594,429

Step by Step Solution

1. Step 1: Write the proportion equation
   415,978.50 : 594,429 = 594,429 : x
2. Step 2: Convert to fraction form
   415,978.50/594,429 = 594,429/x
3. Step 3: Cross multiply
   415,978.50x = 594,429 × 594,429
4. Step 4: Simplify right side
   415,978.50x = 353,345,836,041
5. Step 5: Solve for x
   x = 353,345,836,041/415,978.50
6. Step 6: Final answer
   x = 849,432.93