Finding the Third Proportional to 65,178 and 98,496

Step by Step Solution

1. Step 1: Write the proportion equation
   65,178 : 98,496 = 98,496 : x
2. Step 2: Convert to fraction form
   65,178/98,496 = 98,496/x
3. Step 3: Cross multiply
   65,178x = 98,496 × 98,496
4. Step 4: Simplify right side
   65,178x = 9,701,462,016
5. Step 5: Solve for x
   x = 9,701,462,016/65,178
6. Step 6: Final answer
   x = 148,845.65