Finding the Third Proportional to 256,762 and 377,870

Step by Step Solution

1. Step 1: Write the proportion equation
   256,762 : 377,870 = 377,870 : x
2. Step 2: Convert to fraction form
   256,762/377,870 = 377,870/x
3. Step 3: Cross multiply
   256,762x = 377,870 × 377,870
4. Step 4: Simplify right side
   256,762x = 142,785,736,900
5. Step 5: Solve for x
   x = 142,785,736,900/256,762
6. Step 6: Final answer
   x = 556,101.51