Finding the Third Proportional to 726,355,026 and 1,019,219,942.25

Step by Step Solution

1. Step 1: Write the proportion equation
   726,355,026 : 1,019,219,942.25 = 1,019,219,942.25 : x
2. Step 2: Convert to fraction form
   726,355,026/1,019,219,942.25 = 1,019,219,942.25/x
3. Step 3: Cross multiply
   726,355,026x = 1,019,219,942.25 × 1,019,219,942.25
4. Step 4: Simplify right side
   726,355,026x = 1,038,809,290,680,093,312
5. Step 5: Solve for x
   x = 1,038,809,290,680,093,312/726,355,026
6. Step 6: Final answer
   x = 1,430,167,416.06