Finding the Third Proportional to 46,968.17 and 82,778.16

Step by Step Solution

1. Step 1: Write the proportion equation
   46,968.17 : 82,778.16 = 82,778.16 : x
2. Step 2: Convert to fraction form
   46,968.17/82,778.16 = 82,778.16/x
3. Step 3: Cross multiply
   46,968.17x = 82,778.16 × 82,778.16
4. Step 4: Simplify right side
   46,968.17x = 6,852,224,364.72
5. Step 5: Solve for x
   x = 6,852,224,364.72/46,968.17
6. Step 6: Final answer
   x = 145,890.80