Finding the Third Proportional to 364,743 and 785,666.25

Step by Step Solution

1. Step 1: Write the proportion equation
   364,743 : 785,666.25 = 785,666.25 : x
2. Step 2: Convert to fraction form
   364,743/785,666.25 = 785,666.25/x
3. Step 3: Cross multiply
   364,743x = 785,666.25 × 785,666.25
4. Step 4: Simplify right side
   364,743x = 617,271,456,389.06
5. Step 5: Solve for x
   x = 617,271,456,389.06/364,743
6. Step 6: Final answer
   x = 1,692,346.27