Finding the Third Proportional to 116,964 and 188,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,964 : 188,365.50 = 188,365.50 : x
2. Step 2: Convert to fraction form
   116,964/188,365.50 = 188,365.50/x
3. Step 3: Cross multiply
   116,964x = 188,365.50 × 188,365.50
4. Step 4: Simplify right side
   116,964x = 35,481,561,590.25
5. Step 5: Solve for x
   x = 35,481,561,590.25/116,964
6. Step 6: Final answer
   x = 303,354.55