Finding the Third Proportional to 118,200 and 177,300

Step by Step Solution

1. Step 1: Write the proportion equation
   118,200 : 177,300 = 177,300 : x
2. Step 2: Convert to fraction form
   118,200/177,300 = 177,300/x
3. Step 3: Cross multiply
   118,200x = 177,300 × 177,300
4. Step 4: Simplify right side
   118,200x = 31,435,290,000
5. Step 5: Solve for x
   x = 31,435,290,000/118,200
6. Step 6: Final answer
   x = 265,950