Finding the Third Proportional to 120,506.50 and 254,558

Step by Step Solution

1. Step 1: Write the proportion equation
   120,506.50 : 254,558 = 254,558 : x
2. Step 2: Convert to fraction form
   120,506.50/254,558 = 254,558/x
3. Step 3: Cross multiply
   120,506.50x = 254,558 × 254,558
4. Step 4: Simplify right side
   120,506.50x = 64,799,775,364
5. Step 5: Solve for x
   x = 64,799,775,364/120,506.50
6. Step 6: Final answer
   x = 537,728.47