Finding the Third Proportional to 205,208,601,265 and 441,300,391,382

Step by Step Solution

1. Step 1: Write the proportion equation
   205,208,601,265 : 441,300,391,382 = 441,300,391,382 : x
2. Step 2: Convert to fraction form
   205,208,601,265/441,300,391,382 = 441,300,391,382/x
3. Step 3: Cross multiply
   205,208,601,265x = 441,300,391,382 × 441,300,391,382
4. Step 4: Simplify right side
   205,208,601,265x = 194,746,035,433,906,389,385,216
5. Step 5: Solve for x
   x = 194,746,035,433,906,389,385,216/205,208,601,265
6. Step 6: Final answer
   x = 949,014,974,194.08