Finding the Third Proportional to 415,980 and 594,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,980 : 594,443.50 = 594,443.50 : x
2. Step 2: Convert to fraction form
   415,980/594,443.50 = 594,443.50/x
3. Step 3: Cross multiply
   415,980x = 594,443.50 × 594,443.50
4. Step 4: Simplify right side
   415,980x = 353,363,074,692.25
5. Step 5: Solve for x
   x = 353,363,074,692.25/415,980
6. Step 6: Final answer
   x = 849,471.31