Finding the Third Proportional to 229,526 and 497,168

Step by Step Solution

1. Step 1: Write the proportion equation
   229,526 : 497,168 = 497,168 : x
2. Step 2: Convert to fraction form
   229,526/497,168 = 497,168/x
3. Step 3: Cross multiply
   229,526x = 497,168 × 497,168
4. Step 4: Simplify right side
   229,526x = 247,176,020,224
5. Step 5: Solve for x
   x = 247,176,020,224/229,526
6. Step 6: Final answer
   x = 1,076,897.69