Finding the Third Proportional to 78,225 and 112,098

Step by Step Solution

1. Step 1: Write the proportion equation
   78,225 : 112,098 = 112,098 : x
2. Step 2: Convert to fraction form
   78,225/112,098 = 112,098/x
3. Step 3: Cross multiply
   78,225x = 112,098 × 112,098
4. Step 4: Simplify right side
   78,225x = 12,565,961,604
5. Step 5: Solve for x
   x = 12,565,961,604/78,225
6. Step 6: Final answer
   x = 160,638.69