Finding the Third Proportional to 104,314 and 141,702

Step by Step Solution

1. Step 1: Write the proportion equation
   104,314 : 141,702 = 141,702 : x
2. Step 2: Convert to fraction form
   104,314/141,702 = 141,702/x
3. Step 3: Cross multiply
   104,314x = 141,702 × 141,702
4. Step 4: Simplify right side
   104,314x = 20,079,456,804
5. Step 5: Solve for x
   x = 20,079,456,804/104,314
6. Step 6: Final answer
   x = 192,490.53