Finding the Third Proportional to 69,898 and 152,084

Step by Step Solution

1. Step 1: Write the proportion equation
   69,898 : 152,084 = 152,084 : x
2. Step 2: Convert to fraction form
   69,898/152,084 = 152,084/x
3. Step 3: Cross multiply
   69,898x = 152,084 × 152,084
4. Step 4: Simplify right side
   69,898x = 23,129,543,056
5. Step 5: Solve for x
   x = 23,129,543,056/69,898
6. Step 6: Final answer
   x = 330,904.22