Finding the Third Proportional to 238,194 and 510,924.38

Step by Step Solution

1. Step 1: Write the proportion equation
   238,194 : 510,924.38 = 510,924.38 : x
2. Step 2: Convert to fraction form
   238,194/510,924.38 = 510,924.38/x
3. Step 3: Cross multiply
   238,194x = 510,924.38 × 510,924.38
4. Step 4: Simplify right side
   238,194x = 261,043,716,969.14
5. Step 5: Solve for x
   x = 261,043,716,969.14/238,194
6. Step 6: Final answer
   x = 1,095,929.02