Finding the Third Proportional to 120,595.50 and 254,772

Step by Step Solution

1. Step 1: Write the proportion equation
   120,595.50 : 254,772 = 254,772 : x
2. Step 2: Convert to fraction form
   120,595.50/254,772 = 254,772/x
3. Step 3: Cross multiply
   120,595.50x = 254,772 × 254,772
4. Step 4: Simplify right side
   120,595.50x = 64,908,771,984
5. Step 5: Solve for x
   x = 64,908,771,984/120,595.50
6. Step 6: Final answer
   x = 538,235.44