Finding the Third Proportional to 69,573 and 152,266

Step by Step Solution

1. Step 1: Write the proportion equation
   69,573 : 152,266 = 152,266 : x
2. Step 2: Convert to fraction form
   69,573/152,266 = 152,266/x
3. Step 3: Cross multiply
   69,573x = 152,266 × 152,266
4. Step 4: Simplify right side
   69,573x = 23,184,934,756
5. Step 5: Solve for x
   x = 23,184,934,756/69,573
6. Step 6: Final answer
   x = 333,246.16