Finding the Third Proportional to 78,542 and 111,046

Step by Step Solution

1. Step 1: Write the proportion equation
   78,542 : 111,046 = 111,046 : x
2. Step 2: Convert to fraction form
   78,542/111,046 = 111,046/x
3. Step 3: Cross multiply
   78,542x = 111,046 × 111,046
4. Step 4: Simplify right side
   78,542x = 12,331,214,116
5. Step 5: Solve for x
   x = 12,331,214,116/78,542
6. Step 6: Final answer
   x = 157,001.53