Finding the Third Proportional to 113,886 and 164,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   113,886 : 164,065.50 = 164,065.50 : x
2. Step 2: Convert to fraction form
   113,886/164,065.50 = 164,065.50/x
3. Step 3: Cross multiply
   113,886x = 164,065.50 × 164,065.50
4. Step 4: Simplify right side
   113,886x = 26,917,488,290.25
5. Step 5: Solve for x
   x = 26,917,488,290.25/113,886
6. Step 6: Final answer
   x = 236,354.67