Finding the Third Proportional to 104,901 and 158,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   104,901 : 158,222.50 = 158,222.50 : x
2. Step 2: Convert to fraction form
   104,901/158,222.50 = 158,222.50/x
3. Step 3: Cross multiply
   104,901x = 158,222.50 × 158,222.50
4. Step 4: Simplify right side
   104,901x = 25,034,359,506.25
5. Step 5: Solve for x
   x = 25,034,359,506.25/104,901
6. Step 6: Final answer
   x = 238,647.48