Finding the Third Proportional to 65,847 and 99,345

Step by Step Solution

1. Step 1: Write the proportion equation
   65,847 : 99,345 = 99,345 : x
2. Step 2: Convert to fraction form
   65,847/99,345 = 99,345/x
3. Step 3: Cross multiply
   65,847x = 99,345 × 99,345
4. Step 4: Simplify right side
   65,847x = 9,869,429,025
5. Step 5: Solve for x
   x = 9,869,429,025/65,847
6. Step 6: Final answer
   x = 149,884.26