Finding the Third Proportional to 113,009 and 166,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,009 : 166,009.50 = 166,009.50 : x
2. Step 2: Convert to fraction form
   113,009/166,009.50 = 166,009.50/x
3. Step 3: Cross multiply
   113,009x = 166,009.50 × 166,009.50
4. Step 4: Simplify right side
   113,009x = 27,559,154,090.25
5. Step 5: Solve for x
   x = 27,559,154,090.25/113,009
6. Step 6: Final answer
   x = 243,866.90