Finding the Third Proportional to 101,476 and 151,632

Step by Step Solution

1. Step 1: Write the proportion equation
   101,476 : 151,632 = 151,632 : x
2. Step 2: Convert to fraction form
   101,476/151,632 = 151,632/x
3. Step 3: Cross multiply
   101,476x = 151,632 × 151,632
4. Step 4: Simplify right side
   101,476x = 22,992,263,424
5. Step 5: Solve for x
   x = 22,992,263,424/101,476
6. Step 6: Final answer
   x = 226,578.34