Finding the Third Proportional to 117,747,820,623 and 256,806,757,580

Step by Step Solution

1. Step 1: Write the proportion equation
   117,747,820,623 : 256,806,757,580 = 256,806,757,580 : x
2. Step 2: Convert to fraction form
   117,747,820,623/256,806,757,580 = 256,806,757,580/x
3. Step 3: Cross multiply
   117,747,820,623x = 256,806,757,580 × 256,806,757,580
4. Step 4: Simplify right side
   117,747,820,623x = 65,949,710,738,752,890,994,688
5. Step 5: Solve for x
   x = 65,949,710,738,752,890,994,688/117,747,820,623
6. Step 6: Final answer
   x = 560,092,835,602.52