Finding the Third Proportional to 245,834 and 536,164

Step by Step Solution

1. Step 1: Write the proportion equation
   245,834 : 536,164 = 536,164 : x
2. Step 2: Convert to fraction form
   245,834/536,164 = 536,164/x
3. Step 3: Cross multiply
   245,834x = 536,164 × 536,164
4. Step 4: Simplify right side
   245,834x = 287,471,834,896
5. Step 5: Solve for x
   x = 287,471,834,896/245,834
6. Step 6: Final answer
   x = 1,169,373.78