Finding the Third Proportional to 256,071 and 368,854.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,071 : 368,854.50 = 368,854.50 : x
2. Step 2: Convert to fraction form
   256,071/368,854.50 = 368,854.50/x
3. Step 3: Cross multiply
   256,071x = 368,854.50 × 368,854.50
4. Step 4: Simplify right side
   256,071x = 136,053,642,170.25
5. Step 5: Solve for x
   x = 136,053,642,170.25/256,071
6. Step 6: Final answer
   x = 531,312.18