Finding the Third Proportional to 69,274.50 and 111,561.75

Step by Step Solution

1. Step 1: Write the proportion equation
   69,274.50 : 111,561.75 = 111,561.75 : x
2. Step 2: Convert to fraction form
   69,274.50/111,561.75 = 111,561.75/x
3. Step 3: Cross multiply
   69,274.50x = 111,561.75 × 111,561.75
4. Step 4: Simplify right side
   69,274.50x = 12,446,024,063.06
5. Step 5: Solve for x
   x = 12,446,024,063.06/69,274.50
6. Step 6: Final answer
   x = 179,662.42