Finding the Third Proportional to 377,109.50 and 824,718

Step by Step Solution

1. Step 1: Write the proportion equation
   377,109.50 : 824,718 = 824,718 : x
2. Step 2: Convert to fraction form
   377,109.50/824,718 = 824,718/x
3. Step 3: Cross multiply
   377,109.50x = 824,718 × 824,718
4. Step 4: Simplify right side
   377,109.50x = 680,159,779,524
5. Step 5: Solve for x
   x = 680,159,779,524/377,109.50
6. Step 6: Final answer
   x = 1,803,613.49