Finding the Third Proportional to 65,134 and 141,972

Step by Step Solution

1. Step 1: Write the proportion equation
   65,134 : 141,972 = 141,972 : x
2. Step 2: Convert to fraction form
   65,134/141,972 = 141,972/x
3. Step 3: Cross multiply
   65,134x = 141,972 × 141,972
4. Step 4: Simplify right side
   65,134x = 20,156,048,784
5. Step 5: Solve for x
   x = 20,156,048,784/65,134
6. Step 6: Final answer
   x = 309,455.10