Finding the Third Proportional to 106,856 and 151,884

Step by Step Solution

1. Step 1: Write the proportion equation
   106,856 : 151,884 = 151,884 : x
2. Step 2: Convert to fraction form
   106,856/151,884 = 151,884/x
3. Step 3: Cross multiply
   106,856x = 151,884 × 151,884
4. Step 4: Simplify right side
   106,856x = 23,068,749,456
5. Step 5: Solve for x
   x = 23,068,749,456/106,856
6. Step 6: Final answer
   x = 215,886.33