Finding the Third Proportional to 142,561 and 221,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   142,561 : 221,779.50 = 221,779.50 : x
2. Step 2: Convert to fraction form
   142,561/221,779.50 = 221,779.50/x
3. Step 3: Cross multiply
   142,561x = 221,779.50 × 221,779.50
4. Step 4: Simplify right side
   142,561x = 49,186,146,620.25
5. Step 5: Solve for x
   x = 49,186,146,620.25/142,561
6. Step 6: Final answer
   x = 345,018.25