Finding the Third Proportional to 92,786 and 202,300

Step by Step Solution

1. Step 1: Write the proportion equation
   92,786 : 202,300 = 202,300 : x
2. Step 2: Convert to fraction form
   92,786/202,300 = 202,300/x
3. Step 3: Cross multiply
   92,786x = 202,300 × 202,300
4. Step 4: Simplify right side
   92,786x = 40,925,290,000
5. Step 5: Solve for x
   x = 40,925,290,000/92,786
6. Step 6: Final answer
   x = 441,071.82