Finding the Third Proportional to 180,264 and 417,300

Step by Step Solution

1. Step 1: Write the proportion equation
   180,264 : 417,300 = 417,300 : x
2. Step 2: Convert to fraction form
   180,264/417,300 = 417,300/x
3. Step 3: Cross multiply
   180,264x = 417,300 × 417,300
4. Step 4: Simplify right side
   180,264x = 174,139,290,000
5. Step 5: Solve for x
   x = 174,139,290,000/180,264
6. Step 6: Final answer
   x = 966,023.67