Finding the Third Proportional to 107,505 and 166,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,505 : 166,801.50 = 166,801.50 : x
2. Step 2: Convert to fraction form
   107,505/166,801.50 = 166,801.50/x
3. Step 3: Cross multiply
   107,505x = 166,801.50 × 166,801.50
4. Step 4: Simplify right side
   107,505x = 27,822,740,402.25
5. Step 5: Solve for x
   x = 27,822,740,402.25/107,505
6. Step 6: Final answer
   x = 258,804.15