Finding the Third Proportional to 119,852,841,901 and 260,804,612,016

Step by Step Solution

1. Step 1: Write the proportion equation
   119,852,841,901 : 260,804,612,016 = 260,804,612,016 : x
2. Step 2: Convert to fraction form
   119,852,841,901/260,804,612,016 = 260,804,612,016/x
3. Step 3: Cross multiply
   119,852,841,901x = 260,804,612,016 × 260,804,612,016
4. Step 4: Simplify right side
   119,852,841,901x = 68,019,045,648,816,293,281,792
5. Step 5: Solve for x
   x = 68,019,045,648,816,293,281,792/119,852,841,901
6. Step 6: Final answer
   x = 567,521,341,755.09