Finding the Third Proportional to 108,526 and 235,094

Step by Step Solution

1. Step 1: Write the proportion equation
   108,526 : 235,094 = 235,094 : x
2. Step 2: Convert to fraction form
   108,526/235,094 = 235,094/x
3. Step 3: Cross multiply
   108,526x = 235,094 × 235,094
4. Step 4: Simplify right side
   108,526x = 55,269,188,836
5. Step 5: Solve for x
   x = 55,269,188,836/108,526
6. Step 6: Final answer
   x = 509,271.41