Finding the Third Proportional to 65,184 and 98,505

Step by Step Solution

1. Step 1: Write the proportion equation
   65,184 : 98,505 = 98,505 : x
2. Step 2: Convert to fraction form
   65,184/98,505 = 98,505/x
3. Step 3: Cross multiply
   65,184x = 98,505 × 98,505
4. Step 4: Simplify right side
   65,184x = 9,703,235,025
5. Step 5: Solve for x
   x = 9,703,235,025/65,184
6. Step 6: Final answer
   x = 148,859.15