Finding the Third Proportional to 256,061 and 368,864.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,061 : 368,864.50 = 368,864.50 : x
2. Step 2: Convert to fraction form
   256,061/368,864.50 = 368,864.50/x
3. Step 3: Cross multiply
   256,061x = 368,864.50 × 368,864.50
4. Step 4: Simplify right side
   256,061x = 136,061,019,360.25
5. Step 5: Solve for x
   x = 136,061,019,360.25/256,061
6. Step 6: Final answer
   x = 531,361.74