Finding the Third Proportional to 142,219,275,124 and 205,482,292,978

Step by Step Solution

1. Step 1: Write the proportion equation
   142,219,275,124 : 205,482,292,978 = 205,482,292,978 : x
2. Step 2: Convert to fraction form
   142,219,275,124/205,482,292,978 = 205,482,292,978/x
3. Step 3: Cross multiply
   142,219,275,124x = 205,482,292,978 × 205,482,292,978
4. Step 4: Simplify right side
   142,219,275,124x = 42,222,972,727,496,624,046,080
5. Step 5: Solve for x
   x = 42,222,972,727,496,624,046,080/142,219,275,124
6. Step 6: Final answer
   x = 296,886,429,006.78