Finding the Third Proportional to 831,778,902 and 1,189,361,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   831,778,902 : 1,189,361,569.50 = 1,189,361,569.50 : x
2. Step 2: Convert to fraction form
   831,778,902/1,189,361,569.50 = 1,189,361,569.50/x
3. Step 3: Cross multiply
   831,778,902x = 1,189,361,569.50 × 1,189,361,569.50
4. Step 4: Simplify right side
   831,778,902x = 1,414,580,943,003,503,360
5. Step 5: Solve for x
   x = 1,414,580,943,003,503,360/831,778,902
6. Step 6: Final answer
   x = 1,700,669,420.21