Finding the Third Proportional to 142,421 and 223,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,421 : 223,407.50 = 223,407.50 : x
2. Step 2: Convert to fraction form
   142,421/223,407.50 = 223,407.50/x
3. Step 3: Cross multiply
   142,421x = 223,407.50 × 223,407.50
4. Step 4: Simplify right side
   142,421x = 49,910,911,056.25
5. Step 5: Solve for x
   x = 49,910,911,056.25/142,421
6. Step 6: Final answer
   x = 350,446.29