Finding the Third Proportional to 233,563.50 and 510,750

Step by Step Solution

1. Step 1: Write the proportion equation
   233,563.50 : 510,750 = 510,750 : x
2. Step 2: Convert to fraction form
   233,563.50/510,750 = 510,750/x
3. Step 3: Cross multiply
   233,563.50x = 510,750 × 510,750
4. Step 4: Simplify right side
   233,563.50x = 260,865,562,500
5. Step 5: Solve for x
   x = 260,865,562,500/233,563.50
6. Step 6: Final answer
   x = 1,116,893.53