Finding the Third Proportional to 235,798 and 509,117.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,798 : 509,117.50 = 509,117.50 : x
2. Step 2: Convert to fraction form
   235,798/509,117.50 = 509,117.50/x
3. Step 3: Cross multiply
   235,798x = 509,117.50 × 509,117.50
4. Step 4: Simplify right side
   235,798x = 259,200,628,806.25
5. Step 5: Solve for x
   x = 259,200,628,806.25/235,798
6. Step 6: Final answer
   x = 1,099,248.63