Finding the Third Proportional to 78,998.34 and 111,780.28

Step by Step Solution

1. Step 1: Write the proportion equation
   78,998.34 : 111,780.28 = 111,780.28 : x
2. Step 2: Convert to fraction form
   78,998.34/111,780.28 = 111,780.28/x
3. Step 3: Cross multiply
   78,998.34x = 111,780.28 × 111,780.28
4. Step 4: Simplify right side
   78,998.34x = 12,494,831,276.33
5. Step 5: Solve for x
   x = 12,494,831,276.33/78,998.34
6. Step 6: Final answer
   x = 158,165.74