Finding the Third Proportional to 415,023 and 626,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415,023 : 626,344.50 = 626,344.50 : x
2. Step 2: Convert to fraction form
   415,023/626,344.50 = 626,344.50/x
3. Step 3: Cross multiply
   415,023x = 626,344.50 × 626,344.50
4. Step 4: Simplify right side
   415,023x = 392,307,432,680.25
5. Step 5: Solve for x
   x = 392,307,432,680.25/415,023
6. Step 6: Final answer
   x = 945,266.73