Finding the Third Proportional to 235,830 and 509,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,830 : 509,008.50 = 509,008.50 : x
2. Step 2: Convert to fraction form
   235,830/509,008.50 = 509,008.50/x
3. Step 3: Cross multiply
   235,830x = 509,008.50 × 509,008.50
4. Step 4: Simplify right side
   235,830x = 259,089,653,072.25
5. Step 5: Solve for x
   x = 259,089,653,072.25/235,830
6. Step 6: Final answer
   x = 1,098,628.90