Finding the Third Proportional to 209,602 and 296,300

Step by Step Solution

1. Step 1: Write the proportion equation
   209,602 : 296,300 = 296,300 : x
2. Step 2: Convert to fraction form
   209,602/296,300 = 296,300/x
3. Step 3: Cross multiply
   209,602x = 296,300 × 296,300
4. Step 4: Simplify right side
   209,602x = 87,793,690,000
5. Step 5: Solve for x
   x = 87,793,690,000/209,602
6. Step 6: Final answer
   x = 418,859.03