Finding the Third Proportional to 92,510 and 199,053

Step by Step Solution

1. Step 1: Write the proportion equation
   92,510 : 199,053 = 199,053 : x
2. Step 2: Convert to fraction form
   92,510/199,053 = 199,053/x
3. Step 3: Cross multiply
   92,510x = 199,053 × 199,053
4. Step 4: Simplify right side
   92,510x = 39,622,096,809
5. Step 5: Solve for x
   x = 39,622,096,809/92,510
6. Step 6: Final answer
   x = 428,300.69