Finding the Third Proportional to 256,764 and 375,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,764 : 375,637.50 = 375,637.50 : x
2. Step 2: Convert to fraction form
   256,764/375,637.50 = 375,637.50/x
3. Step 3: Cross multiply
   256,764x = 375,637.50 × 375,637.50
4. Step 4: Simplify right side
   256,764x = 141,103,531,406.25
5. Step 5: Solve for x
   x = 141,103,531,406.25/256,764
6. Step 6: Final answer
   x = 549,545.62