Finding the Third Proportional to 152,023 and 200,099

Step by Step Solution

1. Step 1: Write the proportion equation
   152,023 : 200,099 = 200,099 : x
2. Step 2: Convert to fraction form
   152,023/200,099 = 200,099/x
3. Step 3: Cross multiply
   152,023x = 200,099 × 200,099
4. Step 4: Simplify right side
   152,023x = 40,039,609,801
5. Step 5: Solve for x
   x = 40,039,609,801/152,023
6. Step 6: Final answer
   x = 263,378.63