Finding the Third Proportional to 165,656 and 220,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,656 : 220,705.50 = 220,705.50 : x
2. Step 2: Convert to fraction form
   165,656/220,705.50 = 220,705.50/x
3. Step 3: Cross multiply
   165,656x = 220,705.50 × 220,705.50
4. Step 4: Simplify right side
   165,656x = 48,710,917,730.25
5. Step 5: Solve for x
   x = 48,710,917,730.25/165,656
6. Step 6: Final answer
   x = 294,048.62