Finding the Third Proportional to 238,626 and 513,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,626 : 513,823.50 = 513,823.50 : x
2. Step 2: Convert to fraction form
   238,626/513,823.50 = 513,823.50/x
3. Step 3: Cross multiply
   238,626x = 513,823.50 × 513,823.50
4. Step 4: Simplify right side
   238,626x = 264,014,589,152.25
5. Step 5: Solve for x
   x = 264,014,589,152.25/238,626
6. Step 6: Final answer
   x = 1,106,394.90