Finding the Third Proportional to 238,196.75 and 510,930.25

Step by Step Solution

1. Step 1: Write the proportion equation
   238,196.75 : 510,930.25 = 510,930.25 : x
2. Step 2: Convert to fraction form
   238,196.75/510,930.25 = 510,930.25/x
3. Step 3: Cross multiply
   238,196.75x = 510,930.25 × 510,930.25
4. Step 4: Simplify right side
   238,196.75x = 261,049,720,365.06
5. Step 5: Solve for x
   x = 261,049,720,365.06/238,196.75
6. Step 6: Final answer
   x = 1,095,941.57