Finding the Third Proportional to 65,823 and 99,316

Step by Step Solution

1. Step 1: Write the proportion equation
   65,823 : 99,316 = 99,316 : x
2. Step 2: Convert to fraction form
   65,823/99,316 = 99,316/x
3. Step 3: Cross multiply
   65,823x = 99,316 × 99,316
4. Step 4: Simplify right side
   65,823x = 9,863,667,856
5. Step 5: Solve for x
   x = 9,863,667,856/65,823
6. Step 6: Final answer
   x = 149,851.39