Finding the Third Proportional to 221,158 and 333,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   221,158 : 333,569.50 = 333,569.50 : x
2. Step 2: Convert to fraction form
   221,158/333,569.50 = 333,569.50/x
3. Step 3: Cross multiply
   221,158x = 333,569.50 × 333,569.50
4. Step 4: Simplify right side
   221,158x = 111,268,611,330.25
5. Step 5: Solve for x
   x = 111,268,611,330.25/221,158
6. Step 6: Final answer
   x = 503,118.18