Finding the Third Proportional to 233,142 and 510,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,142 : 510,022.50 = 510,022.50 : x
2. Step 2: Convert to fraction form
   233,142/510,022.50 = 510,022.50/x
3. Step 3: Cross multiply
   233,142x = 510,022.50 × 510,022.50
4. Step 4: Simplify right side
   233,142x = 260,122,950,506.25
5. Step 5: Solve for x
   x = 260,122,950,506.25/233,142
6. Step 6: Final answer
   x = 1,115,727.54