Finding the Third Proportional to 380,538 and 811,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   380,538 : 811,741.50 = 811,741.50 : x
2. Step 2: Convert to fraction form
   380,538/811,741.50 = 811,741.50/x
3. Step 3: Cross multiply
   380,538x = 811,741.50 × 811,741.50
4. Step 4: Simplify right side
   380,538x = 658,924,262,822.25
5. Step 5: Solve for x
   x = 658,924,262,822.25/380,538
6. Step 6: Final answer
   x = 1,731,559.69