Finding the Third Proportional to 142,955.50 and 210,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,955.50 : 210,274.50 = 210,274.50 : x
2. Step 2: Convert to fraction form
   142,955.50/210,274.50 = 210,274.50/x
3. Step 3: Cross multiply
   142,955.50x = 210,274.50 × 210,274.50
4. Step 4: Simplify right side
   142,955.50x = 44,215,365,350.25
5. Step 5: Solve for x
   x = 44,215,365,350.25/142,955.50
6. Step 6: Final answer
   x = 309,294.61