Finding the Third Proportional to 118,493 and 192,510

Step by Step Solution

1. Step 1: Write the proportion equation
   118,493 : 192,510 = 192,510 : x
2. Step 2: Convert to fraction form
   118,493/192,510 = 192,510/x
3. Step 3: Cross multiply
   118,493x = 192,510 × 192,510
4. Step 4: Simplify right side
   118,493x = 37,060,100,100
5. Step 5: Solve for x
   x = 37,060,100,100/118,493
6. Step 6: Final answer
   x = 312,761.94