Finding the Third Proportional to 377,108.50 and 824,716

Step by Step Solution

1. Step 1: Write the proportion equation
   377,108.50 : 824,716 = 824,716 : x
2. Step 2: Convert to fraction form
   377,108.50/824,716 = 824,716/x
3. Step 3: Cross multiply
   377,108.50x = 824,716 × 824,716
4. Step 4: Simplify right side
   377,108.50x = 680,156,480,656
5. Step 5: Solve for x
   x = 680,156,480,656/377,108.50
6. Step 6: Final answer
   x = 1,803,609.52