Finding the Third Proportional to 142,407 and 221,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,407 : 221,386.50 = 221,386.50 : x
2. Step 2: Convert to fraction form
   142,407/221,386.50 = 221,386.50/x
3. Step 3: Cross multiply
   142,407x = 221,386.50 × 221,386.50
4. Step 4: Simplify right side
   142,407x = 49,011,982,382.25
5. Step 5: Solve for x
   x = 49,011,982,382.25/142,407
6. Step 6: Final answer
   x = 344,168.35