Finding the Third Proportional to 142,470 and 221,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,470 : 221,476.50 = 221,476.50 : x
2. Step 2: Convert to fraction form
   142,470/221,476.50 = 221,476.50/x
3. Step 3: Cross multiply
   142,470x = 221,476.50 × 221,476.50
4. Step 4: Simplify right side
   142,470x = 49,051,840,052.25
5. Step 5: Solve for x
   x = 49,051,840,052.25/142,470
6. Step 6: Final answer
   x = 344,295.92