Finding the Third Proportional to 1,082,006 and 1,688,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,082,006 : 1,688,516.50 = 1,688,516.50 : x
2. Step 2: Convert to fraction form
   1,082,006/1,688,516.50 = 1,688,516.50/x
3. Step 3: Cross multiply
   1,082,006x = 1,688,516.50 × 1,688,516.50
4. Step 4: Simplify right side
   1,082,006x = 2,851,087,970,772.25
5. Step 5: Solve for x
   x = 2,851,087,970,772.25/1,082,006
6. Step 6: Final answer
   x = 2,635,002.00