Finding the Third Proportional to 120,598.50 and 254,778

Step by Step Solution

1. Step 1: Write the proportion equation
   120,598.50 : 254,778 = 254,778 : x
2. Step 2: Convert to fraction form
   120,598.50/254,778 = 254,778/x
3. Step 3: Cross multiply
   120,598.50x = 254,778 × 254,778
4. Step 4: Simplify right side
   120,598.50x = 64,911,829,284
5. Step 5: Solve for x
   x = 64,911,829,284/120,598.50
6. Step 6: Final answer
   x = 538,247.40