Finding the Third Proportional to 288,414,359,560 and 423,981,902,960

Step by Step Solution

1. Step 1: Write the proportion equation
   288,414,359,560 : 423,981,902,960 = 423,981,902,960 : x
2. Step 2: Convert to fraction form
   288,414,359,560/423,981,902,960 = 423,981,902,960/x
3. Step 3: Cross multiply
   288,414,359,560x = 423,981,902,960 × 423,981,902,960
4. Step 4: Simplify right side
   288,414,359,560x = 179,760,654,037,582,845,313,024
5. Step 5: Solve for x
   x = 179,760,654,037,582,845,313,024/288,414,359,560
6. Step 6: Final answer
   x = 623,272,205,696.77