Finding the Third Proportional to 381,457.50 and 577,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,457.50 : 577,096.50 = 577,096.50 : x
2. Step 2: Convert to fraction form
   381,457.50/577,096.50 = 577,096.50/x
3. Step 3: Cross multiply
   381,457.50x = 577,096.50 × 577,096.50
4. Step 4: Simplify right side
   381,457.50x = 333,040,370,312.25
5. Step 5: Solve for x
   x = 333,040,370,312.25/381,457.50
6. Step 6: Final answer
   x = 873,073.33