Finding the Third Proportional to 238,920 and 513,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,920 : 513,259.50 = 513,259.50 : x
2. Step 2: Convert to fraction form
   238,920/513,259.50 = 513,259.50/x
3. Step 3: Cross multiply
   238,920x = 513,259.50 × 513,259.50
4. Step 4: Simplify right side
   238,920x = 263,435,314,340.25
5. Step 5: Solve for x
   x = 263,435,314,340.25/238,920
6. Step 6: Final answer
   x = 1,102,608.88