Finding the Third Proportional to 69,543 and 152,211

Step by Step Solution

1. Step 1: Write the proportion equation
   69,543 : 152,211 = 152,211 : x
2. Step 2: Convert to fraction form
   69,543/152,211 = 152,211/x
3. Step 3: Cross multiply
   69,543x = 152,211 × 152,211
4. Step 4: Simplify right side
   69,543x = 23,168,188,521
5. Step 5: Solve for x
   x = 23,168,188,521/69,543
6. Step 6: Final answer
   x = 333,149.11