Finding the Third Proportional to 134,408 and 188,385

Step by Step Solution

1. Step 1: Write the proportion equation
   134,408 : 188,385 = 188,385 : x
2. Step 2: Convert to fraction form
   134,408/188,385 = 188,385/x
3. Step 3: Cross multiply
   134,408x = 188,385 × 188,385
4. Step 4: Simplify right side
   134,408x = 35,488,908,225
5. Step 5: Solve for x
   x = 35,488,908,225/134,408
6. Step 6: Final answer
   x = 264,038.66