Finding the Third Proportional to 140,645 and 187,878

Step by Step Solution

1. Step 1: Write the proportion equation
   140,645 : 187,878 = 187,878 : x
2. Step 2: Convert to fraction form
   140,645/187,878 = 187,878/x
3. Step 3: Cross multiply
   140,645x = 187,878 × 187,878
4. Step 4: Simplify right side
   140,645x = 35,298,142,884
5. Step 5: Solve for x
   x = 35,298,142,884/140,645
6. Step 6: Final answer
   x = 250,973.32