Finding the Third Proportional to 140,643 and 187,875

Step by Step Solution

1. Step 1: Write the proportion equation
   140,643 : 187,875 = 187,875 : x
2. Step 2: Convert to fraction form
   140,643/187,875 = 187,875/x
3. Step 3: Cross multiply
   140,643x = 187,875 × 187,875
4. Step 4: Simplify right side
   140,643x = 35,297,015,625
5. Step 5: Solve for x
   x = 35,297,015,625/140,643
6. Step 6: Final answer
   x = 250,968.88