Finding the Third Proportional to 365,507 and 548,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   365,507 : 548,258.50 = 548,258.50 : x
2. Step 2: Convert to fraction form
   365,507/548,258.50 = 548,258.50/x
3. Step 3: Cross multiply
   365,507x = 548,258.50 × 548,258.50
4. Step 4: Simplify right side
   365,507x = 300,587,382,822.25
5. Step 5: Solve for x
   x = 300,587,382,822.25/365,507
6. Step 6: Final answer
   x = 822,384.75