Finding the Third Proportional to 117,362 and 256,229

Step by Step Solution

1. Step 1: Write the proportion equation
   117,362 : 256,229 = 256,229 : x
2. Step 2: Convert to fraction form
   117,362/256,229 = 256,229/x
3. Step 3: Cross multiply
   117,362x = 256,229 × 256,229
4. Step 4: Simplify right side
   117,362x = 65,653,300,441
5. Step 5: Solve for x
   x = 65,653,300,441/117,362
6. Step 6: Final answer
   x = 559,408.50