Finding the Third Proportional to 65,410 and 139,567

Step by Step Solution

1. Step 1: Write the proportion equation
   65,410 : 139,567 = 139,567 : x
2. Step 2: Convert to fraction form
   65,410/139,567 = 139,567/x
3. Step 3: Cross multiply
   65,410x = 139,567 × 139,567
4. Step 4: Simplify right side
   65,410x = 19,478,947,489
5. Step 5: Solve for x
   x = 19,478,947,489/65,410
6. Step 6: Final answer
   x = 297,797.70