Finding the Third Proportional to 142,219,275,167 and 205,482,293,040

Step by Step Solution

1. Step 1: Write the proportion equation
   142,219,275,167 : 205,482,293,040 = 205,482,293,040 : x
2. Step 2: Convert to fraction form
   142,219,275,167/205,482,293,040 = 205,482,293,040/x
3. Step 3: Cross multiply
   142,219,275,167x = 205,482,293,040 × 205,482,293,040
4. Step 4: Simplify right side
   142,219,275,167x = 42,222,972,752,976,433,643,520
5. Step 5: Solve for x
   x = 42,222,972,752,976,433,643,520/142,219,275,167
6. Step 6: Final answer
   x = 296,886,429,096.17