Finding the Third Proportional to 381,487.50 and 577,152

Step by Step Solution

1. Step 1: Write the proportion equation
   381,487.50 : 577,152 = 577,152 : x
2. Step 2: Convert to fraction form
   381,487.50/577,152 = 577,152/x
3. Step 3: Cross multiply
   381,487.50x = 577,152 × 577,152
4. Step 4: Simplify right side
   381,487.50x = 333,104,431,104
5. Step 5: Solve for x
   x = 333,104,431,104/381,487.50
6. Step 6: Final answer
   x = 873,172.60