Finding the Third Proportional to 69,506 and 141,470

Step by Step Solution

1. Step 1: Write the proportion equation
   69,506 : 141,470 = 141,470 : x
2. Step 2: Convert to fraction form
   69,506/141,470 = 141,470/x
3. Step 3: Cross multiply
   69,506x = 141,470 × 141,470
4. Step 4: Simplify right side
   69,506x = 20,013,760,900
5. Step 5: Solve for x
   x = 20,013,760,900/69,506
6. Step 6: Final answer
   x = 287,942.92