Finding the Third Proportional to 165,667.50 and 220,724

Step by Step Solution

1. Step 1: Write the proportion equation
   165,667.50 : 220,724 = 220,724 : x
2. Step 2: Convert to fraction form
   165,667.50/220,724 = 220,724/x
3. Step 3: Cross multiply
   165,667.50x = 220,724 × 220,724
4. Step 4: Simplify right side
   165,667.50x = 48,719,084,176
5. Step 5: Solve for x
   x = 48,719,084,176/165,667.50
6. Step 6: Final answer
   x = 294,077.50