Finding the Third Proportional to 429,439,145,888 and 640,434,671,856

Step by Step Solution

1. Step 1: Write the proportion equation
   429,439,145,888 : 640,434,671,856 = 640,434,671,856 : x
2. Step 2: Convert to fraction form
   429,439,145,888/640,434,671,856 = 640,434,671,856/x
3. Step 3: Cross multiply
   429,439,145,888x = 640,434,671,856 × 640,434,671,856
4. Step 4: Simplify right side
   429,439,145,888x = 410,156,568,915,302,399,606,784
5. Step 5: Solve for x
   x = 410,156,568,915,302,399,606,784/429,439,145,888
6. Step 6: Final answer
   x = 955,098,231,827.88