Finding the Third Proportional to 205,208,601,261 and 441,300,391,374

Step by Step Solution

1. Step 1: Write the proportion equation
   205,208,601,261 : 441,300,391,374 = 441,300,391,374 : x
2. Step 2: Convert to fraction form
   205,208,601,261/441,300,391,374 = 441,300,391,374/x
3. Step 3: Cross multiply
   205,208,601,261x = 441,300,391,374 × 441,300,391,374
4. Step 4: Simplify right side
   205,208,601,261x = 194,746,035,426,845,563,813,888
5. Step 5: Solve for x
   x = 194,746,035,426,845,563,813,888/205,208,601,261
6. Step 6: Final answer
   x = 949,014,974,178.17