Finding the Third Proportional to 116,722 and 177,391.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,722 : 177,391.50 = 177,391.50 : x
2. Step 2: Convert to fraction form
   116,722/177,391.50 = 177,391.50/x
3. Step 3: Cross multiply
   116,722x = 177,391.50 × 177,391.50
4. Step 4: Simplify right side
   116,722x = 31,467,744,272.25
5. Step 5: Solve for x
   x = 31,467,744,272.25/116,722
6. Step 6: Final answer
   x = 269,595.66