Finding the Third Proportional to 51,527 and 109,804

Step by Step Solution

1. Step 1: Write the proportion equation
   51,527 : 109,804 = 109,804 : x
2. Step 2: Convert to fraction form
   51,527/109,804 = 109,804/x
3. Step 3: Cross multiply
   51,527x = 109,804 × 109,804
4. Step 4: Simplify right side
   51,527x = 12,056,918,416
5. Step 5: Solve for x
   x = 12,056,918,416/51,527
6. Step 6: Final answer
   x = 233,992.25