Finding the Third Proportional to 69,098 and 142,558

Step by Step Solution

1. Step 1: Write the proportion equation
   69,098 : 142,558 = 142,558 : x
2. Step 2: Convert to fraction form
   69,098/142,558 = 142,558/x
3. Step 3: Cross multiply
   69,098x = 142,558 × 142,558
4. Step 4: Simplify right side
   69,098x = 20,322,783,364
5. Step 5: Solve for x
   x = 20,322,783,364/69,098
6. Step 6: Final answer
   x = 294,115.36