Finding the Third Proportional to 123,322.50 and 166,637.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,322.50 : 166,637.25 = 166,637.25 : x
2. Step 2: Convert to fraction form
   123,322.50/166,637.25 = 166,637.25/x
3. Step 3: Cross multiply
   123,322.50x = 166,637.25 × 166,637.25
4. Step 4: Simplify right side
   123,322.50x = 27,767,973,087.56
5. Step 5: Solve for x
   x = 27,767,973,087.56/123,322.50
6. Step 6: Final answer
   x = 225,165.51