Finding the Third Proportional to 256,119 and 375,874.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,119 : 375,874.50 = 375,874.50 : x
2. Step 2: Convert to fraction form
   256,119/375,874.50 = 375,874.50/x
3. Step 3: Cross multiply
   256,119x = 375,874.50 × 375,874.50
4. Step 4: Simplify right side
   256,119x = 141,281,639,750.25
5. Step 5: Solve for x
   x = 141,281,639,750.25/256,119
6. Step 6: Final answer
   x = 551,624.99