Finding the Third Proportional to 233,038.50 and 510,540.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,038.50 : 510,540.50 = 510,540.50 : x
2. Step 2: Convert to fraction form
   233,038.50/510,540.50 = 510,540.50/x
3. Step 3: Cross multiply
   233,038.50x = 510,540.50 × 510,540.50
4. Step 4: Simplify right side
   233,038.50x = 260,651,602,140.25
5. Step 5: Solve for x
   x = 260,651,602,140.25/233,038.50
6. Step 6: Final answer
   x = 1,118,491.59