Finding the Third Proportional to 105,543 and 187,704

Step by Step Solution

1. Step 1: Write the proportion equation
   105,543 : 187,704 = 187,704 : x
2. Step 2: Convert to fraction form
   105,543/187,704 = 187,704/x
3. Step 3: Cross multiply
   105,543x = 187,704 × 187,704
4. Step 4: Simplify right side
   105,543x = 35,232,791,616
5. Step 5: Solve for x
   x = 35,232,791,616/105,543
6. Step 6: Final answer
   x = 333,824.05