Finding the Third Proportional to 144,474 and 212,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,474 : 212,527.50 = 212,527.50 : x
2. Step 2: Convert to fraction form
   144,474/212,527.50 = 212,527.50/x
3. Step 3: Cross multiply
   144,474x = 212,527.50 × 212,527.50
4. Step 4: Simplify right side
   144,474x = 45,167,938,256.25
5. Step 5: Solve for x
   x = 45,167,938,256.25/144,474
6. Step 6: Final answer
   x = 312,637.14