Finding the Third Proportional to 53,176 and 109,084

Step by Step Solution

1. Step 1: Write the proportion equation
   53,176 : 109,084 = 109,084 : x
2. Step 2: Convert to fraction form
   53,176/109,084 = 109,084/x
3. Step 3: Cross multiply
   53,176x = 109,084 × 109,084
4. Step 4: Simplify right side
   53,176x = 11,899,319,056
5. Step 5: Solve for x
   x = 11,899,319,056/53,176
6. Step 6: Final answer
   x = 223,772.36