Finding the Third Proportional to 415,276.50 and 636,624

Step by Step Solution

1. Step 1: Write the proportion equation
   415,276.50 : 636,624 = 636,624 : x
2. Step 2: Convert to fraction form
   415,276.50/636,624 = 636,624/x
3. Step 3: Cross multiply
   415,276.50x = 636,624 × 636,624
4. Step 4: Simplify right side
   415,276.50x = 405,290,117,376
5. Step 5: Solve for x
   x = 405,290,117,376/415,276.50
6. Step 6: Final answer
   x = 975,952.45