Finding the Third Proportional to 69,314 and 111,627

Step by Step Solution

1. Step 1: Write the proportion equation
   69,314 : 111,627 = 111,627 : x
2. Step 2: Convert to fraction form
   69,314/111,627 = 111,627/x
3. Step 3: Cross multiply
   69,314x = 111,627 × 111,627
4. Step 4: Simplify right side
   69,314x = 12,460,587,129
5. Step 5: Solve for x
   x = 12,460,587,129/69,314
6. Step 6: Final answer
   x = 179,770.13