Finding the Third Proportional to 120,482.25 and 254,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,482.25 : 254,527.50 = 254,527.50 : x
2. Step 2: Convert to fraction form
   120,482.25/254,527.50 = 254,527.50/x
3. Step 3: Cross multiply
   120,482.25x = 254,527.50 × 254,527.50
4. Step 4: Simplify right side
   120,482.25x = 64,784,248,256.25
5. Step 5: Solve for x
   x = 64,784,248,256.25/120,482.25
6. Step 6: Final answer
   x = 537,707.82