Finding the Third Proportional to 140,178 and 188,871

Step by Step Solution

1. Step 1: Write the proportion equation
   140,178 : 188,871 = 188,871 : x
2. Step 2: Convert to fraction form
   140,178/188,871 = 188,871/x
3. Step 3: Cross multiply
   140,178x = 188,871 × 188,871
4. Step 4: Simplify right side
   140,178x = 35,672,254,641
5. Step 5: Solve for x
   x = 35,672,254,641/140,178
6. Step 6: Final answer
   x = 254,478.27