Finding the Third Proportional to 120,696.50 and 177,350

Step by Step Solution

1. Step 1: Write the proportion equation
   120,696.50 : 177,350 = 177,350 : x
2. Step 2: Convert to fraction form
   120,696.50/177,350 = 177,350/x
3. Step 3: Cross multiply
   120,696.50x = 177,350 × 177,350
4. Step 4: Simplify right side
   120,696.50x = 31,453,022,500
5. Step 5: Solve for x
   x = 31,453,022,500/120,696.50
6. Step 6: Final answer
   x = 260,595.98