Finding the Third Proportional to 45,886 and 101,599

Step by Step Solution

1. Step 1: Write the proportion equation
   45,886 : 101,599 = 101,599 : x
2. Step 2: Convert to fraction form
   45,886/101,599 = 101,599/x
3. Step 3: Cross multiply
   45,886x = 101,599 × 101,599
4. Step 4: Simplify right side
   45,886x = 10,322,356,801
5. Step 5: Solve for x
   x = 10,322,356,801/45,886
6. Step 6: Final answer
   x = 224,956.56