Finding the Third Proportional to 100,814 and 152,032

Step by Step Solution

1. Step 1: Write the proportion equation
   100,814 : 152,032 = 152,032 : x
2. Step 2: Convert to fraction form
   100,814/152,032 = 152,032/x
3. Step 3: Cross multiply
   100,814x = 152,032 × 152,032
4. Step 4: Simplify right side
   100,814x = 23,113,729,024
5. Step 5: Solve for x
   x = 23,113,729,024/100,814
6. Step 6: Final answer
   x = 229,271.02