Finding the Third Proportional to 123,430.88 and 165,463.31

Step by Step Solution

1. Step 1: Write the proportion equation
   123,430.88 : 165,463.31 = 165,463.31 : x
2. Step 2: Convert to fraction form
   123,430.88/165,463.31 = 165,463.31/x
3. Step 3: Cross multiply
   123,430.88x = 165,463.31 × 165,463.31
4. Step 4: Simplify right side
   123,430.88x = 27,378,107,783.47
5. Step 5: Solve for x
   x = 27,378,107,783.47/123,430.88
6. Step 6: Final answer
   x = 221,809.23