Finding the Third Proportional to 337,914.50 and 785,736

Step by Step Solution

1. Step 1: Write the proportion equation
   337,914.50 : 785,736 = 785,736 : x
2. Step 2: Convert to fraction form
   337,914.50/785,736 = 785,736/x
3. Step 3: Cross multiply
   337,914.50x = 785,736 × 785,736
4. Step 4: Simplify right side
   337,914.50x = 617,381,061,696
5. Step 5: Solve for x
   x = 617,381,061,696/337,914.50
6. Step 6: Final answer
   x = 1,827,033.35