Finding the Third Proportional to 69,538 and 152,199

Step by Step Solution

1. Step 1: Write the proportion equation
   69,538 : 152,199 = 152,199 : x
2. Step 2: Convert to fraction form
   69,538/152,199 = 152,199/x
3. Step 3: Cross multiply
   69,538x = 152,199 × 152,199
4. Step 4: Simplify right side
   69,538x = 23,164,535,601
5. Step 5: Solve for x
   x = 23,164,535,601/69,538
6. Step 6: Final answer
   x = 333,120.53