Finding the Third Proportional to 83,290 and 176,240

Step by Step Solution

1. Step 1: Write the proportion equation
   83,290 : 176,240 = 176,240 : x
2. Step 2: Convert to fraction form
   83,290/176,240 = 176,240/x
3. Step 3: Cross multiply
   83,290x = 176,240 × 176,240
4. Step 4: Simplify right side
   83,290x = 31,060,537,600
5. Step 5: Solve for x
   x = 31,060,537,600/83,290
6. Step 6: Final answer
   x = 372,920.37