Finding the Third Proportional to 101,182 and 152,099

Step by Step Solution

1. Step 1: Write the proportion equation
   101,182 : 152,099 = 152,099 : x
2. Step 2: Convert to fraction form
   101,182/152,099 = 152,099/x
3. Step 3: Cross multiply
   101,182x = 152,099 × 152,099
4. Step 4: Simplify right side
   101,182x = 23,134,105,801
5. Step 5: Solve for x
   x = 23,134,105,801/101,182
6. Step 6: Final answer
   x = 228,638.55