Finding the Third Proportional to 69,538 and 150,164

Step by Step Solution

1. Step 1: Write the proportion equation
   69,538 : 150,164 = 150,164 : x
2. Step 2: Convert to fraction form
   69,538/150,164 = 150,164/x
3. Step 3: Cross multiply
   69,538x = 150,164 × 150,164
4. Step 4: Simplify right side
   69,538x = 22,549,226,896
5. Step 5: Solve for x
   x = 22,549,226,896/69,538
6. Step 6: Final answer
   x = 324,272.01