Finding the Third Proportional to 381,543 and 590,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,543 : 590,239.50 = 590,239.50 : x
2. Step 2: Convert to fraction form
   381,543/590,239.50 = 590,239.50/x
3. Step 3: Cross multiply
   381,543x = 590,239.50 × 590,239.50
4. Step 4: Simplify right side
   381,543x = 348,382,667,360.25
5. Step 5: Solve for x
   x = 348,382,667,360.25/381,543
6. Step 6: Final answer
   x = 913,088.87