Finding the Third Proportional to 382,495.50 and 838,377

Step by Step Solution

1. Step 1: Write the proportion equation
   382,495.50 : 838,377 = 838,377 : x
2. Step 2: Convert to fraction form
   382,495.50/838,377 = 838,377/x
3. Step 3: Cross multiply
   382,495.50x = 838,377 × 838,377
4. Step 4: Simplify right side
   382,495.50x = 702,875,994,129
5. Step 5: Solve for x
   x = 702,875,994,129/382,495.50
6. Step 6: Final answer
   x = 1,837,605.92