Finding the Third Proportional to 147,901 and 221,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,901 : 221,779.50 = 221,779.50 : x
2. Step 2: Convert to fraction form
   147,901/221,779.50 = 221,779.50/x
3. Step 3: Cross multiply
   147,901x = 221,779.50 × 221,779.50
4. Step 4: Simplify right side
   147,901x = 49,186,146,620.25
5. Step 5: Solve for x
   x = 49,186,146,620.25/147,901
6. Step 6: Final answer
   x = 332,561.29