Finding the Third Proportional to 359,590 and 538,736

Step by Step Solution

1. Step 1: Write the proportion equation
   359,590 : 538,736 = 538,736 : x
2. Step 2: Convert to fraction form
   359,590/538,736 = 538,736/x
3. Step 3: Cross multiply
   359,590x = 538,736 × 538,736
4. Step 4: Simplify right side
   359,590x = 290,236,477,696
5. Step 5: Solve for x
   x = 290,236,477,696/359,590
6. Step 6: Final answer
   x = 807,131.67