Finding the Third Proportional to 142,893 and 200,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,893 : 200,677.50 = 200,677.50 : x
2. Step 2: Convert to fraction form
   142,893/200,677.50 = 200,677.50/x
3. Step 3: Cross multiply
   142,893x = 200,677.50 × 200,677.50
4. Step 4: Simplify right side
   142,893x = 40,271,459,006.25
5. Step 5: Solve for x
   x = 40,271,459,006.25/142,893
6. Step 6: Final answer
   x = 281,829.47