Finding the Third Proportional to 376,875 and 820,181.25

Step by Step Solution

1. Step 1: Write the proportion equation
   376,875 : 820,181.25 = 820,181.25 : x
2. Step 2: Convert to fraction form
   376,875/820,181.25 = 820,181.25/x
3. Step 3: Cross multiply
   376,875x = 820,181.25 × 820,181.25
4. Step 4: Simplify right side
   376,875x = 672,697,282,851.56
5. Step 5: Solve for x
   x = 672,697,282,851.56/376,875
6. Step 6: Final answer
   x = 1,784,934.75