Finding the Third Proportional to 78,306 and 111,627

Step by Step Solution

1. Step 1: Write the proportion equation
   78,306 : 111,627 = 111,627 : x
2. Step 2: Convert to fraction form
   78,306/111,627 = 111,627/x
3. Step 3: Cross multiply
   78,306x = 111,627 × 111,627
4. Step 4: Simplify right side
   78,306x = 12,460,587,129
5. Step 5: Solve for x
   x = 12,460,587,129/78,306
6. Step 6: Final answer
   x = 159,126.85