Finding the Third Proportional to 123,264 and 188,207

Step by Step Solution

1. Step 1: Write the proportion equation
   123,264 : 188,207 = 188,207 : x
2. Step 2: Convert to fraction form
   123,264/188,207 = 188,207/x
3. Step 3: Cross multiply
   123,264x = 188,207 × 188,207
4. Step 4: Simplify right side
   123,264x = 35,421,874,849
5. Step 5: Solve for x
   x = 35,421,874,849/123,264
6. Step 6: Final answer
   x = 287,365.94