Finding the Third Proportional to 761,991 and 1,665,657

Step by Step Solution

1. Step 1: Write the proportion equation
   761,991 : 1,665,657 = 1,665,657 : x
2. Step 2: Convert to fraction form
   761,991/1,665,657 = 1,665,657/x
3. Step 3: Cross multiply
   761,991x = 1,665,657 × 1,665,657
4. Step 4: Simplify right side
   761,991x = 2,774,413,241,649
5. Step 5: Solve for x
   x = 2,774,413,241,649/761,991
6. Step 6: Final answer
   x = 3,641,005.26