Finding the Third Proportional to 179.88 and 435.94

Step by Step Solution

1. Step 1: Write the proportion equation
   179.88 : 435.94 = 435.94 : x
2. Step 2: Convert to fraction form
   179.88/435.94 = 435.94/x
3. Step 3: Cross multiply
   179.88x = 435.94 × 435.94
4. Step 4: Simplify right side
   179.88x = 190,041.50
5. Step 5: Solve for x
   x = 190,041.50/179.88
6. Step 6: Final answer
   x = 1,056.52