Finding the Third Proportional to 681,816 and 1,009,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   681,816 : 1,009,516.50 = 1,009,516.50 : x
2. Step 2: Convert to fraction form
   681,816/1,009,516.50 = 1,009,516.50/x
3. Step 3: Cross multiply
   681,816x = 1,009,516.50 × 1,009,516.50
4. Step 4: Simplify right side
   681,816x = 1,019,123,563,772.25
5. Step 5: Solve for x
   x = 1,019,123,563,772.25/681,816
6. Step 6: Final answer
   x = 1,494,719.34