Finding the Third Proportional to 832,781,770 and 1,293,648,658

Step by Step Solution

1. Step 1: Write the proportion equation
   832,781,770 : 1,293,648,658 = 1,293,648,658 : x
2. Step 2: Convert to fraction form
   832,781,770/1,293,648,658 = 1,293,648,658/x
3. Step 3: Cross multiply
   832,781,770x = 1,293,648,658 × 1,293,648,658
4. Step 4: Simplify right side
   832,781,770x = 1,673,526,850,345,200,896
5. Step 5: Solve for x
   x = 1,673,526,850,345,200,896/832,781,770
6. Step 6: Final answer
   x = 2,009,562,301.47