Finding the Third Proportional to 256,752 and 377,858.25

Step by Step Solution

1. Step 1: Write the proportion equation
   256,752 : 377,858.25 = 377,858.25 : x
2. Step 2: Convert to fraction form
   256,752/377,858.25 = 377,858.25/x
3. Step 3: Cross multiply
   256,752x = 377,858.25 × 377,858.25
4. Step 4: Simplify right side
   256,752x = 142,776,857,093.06
5. Step 5: Solve for x
   x = 142,776,857,093.06/256,752
6. Step 6: Final answer
   x = 556,088.59