Finding the Third Proportional to 69,100 and 142,562

Step by Step Solution

1. Step 1: Write the proportion equation
   69,100 : 142,562 = 142,562 : x
2. Step 2: Convert to fraction form
   69,100/142,562 = 142,562/x
3. Step 3: Cross multiply
   69,100x = 142,562 × 142,562
4. Step 4: Simplify right side
   69,100x = 20,323,923,844
5. Step 5: Solve for x
   x = 20,323,923,844/69,100
6. Step 6: Final answer
   x = 294,123.36