Finding the Third Proportional to 288,414,359,548 and 423,981,902,942

Step by Step Solution

1. Step 1: Write the proportion equation
   288,414,359,548 : 423,981,902,942 = 423,981,902,942 : x
2. Step 2: Convert to fraction form
   288,414,359,548/423,981,902,942 = 423,981,902,942/x
3. Step 3: Cross multiply
   288,414,359,548x = 423,981,902,942 × 423,981,902,942
4. Step 4: Simplify right side
   288,414,359,548x = 179,760,654,022,319,504,621,568
5. Step 5: Solve for x
   x = 179,760,654,022,319,504,621,568/288,414,359,548
6. Step 6: Final answer
   x = 623,272,205,669.78