Finding the Third Proportional to 100,811 and 152,026

Step by Step Solution

1. Step 1: Write the proportion equation
   100,811 : 152,026 = 152,026 : x
2. Step 2: Convert to fraction form
   100,811/152,026 = 152,026/x
3. Step 3: Cross multiply
   100,811x = 152,026 × 152,026
4. Step 4: Simplify right side
   100,811x = 23,111,904,676
5. Step 5: Solve for x
   x = 23,111,904,676/100,811
6. Step 6: Final answer
   x = 229,259.75