Finding the Third Proportional to 361,748.25 and 785,772

Step by Step Solution

1. Step 1: Write the proportion equation
   361,748.25 : 785,772 = 785,772 : x
2. Step 2: Convert to fraction form
   361,748.25/785,772 = 785,772/x
3. Step 3: Cross multiply
   361,748.25x = 785,772 × 785,772
4. Step 4: Simplify right side
   361,748.25x = 617,437,635,984
5. Step 5: Solve for x
   x = 617,437,635,984/361,748.25
6. Step 6: Final answer
   x = 1,706,815.82