Finding the Third Proportional to 823,675.50 and 1,510,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   823,675.50 : 1,510,663.50 = 1,510,663.50 : x
2. Step 2: Convert to fraction form
   823,675.50/1,510,663.50 = 1,510,663.50/x
3. Step 3: Cross multiply
   823,675.50x = 1,510,663.50 × 1,510,663.50
4. Step 4: Simplify right side
   823,675.50x = 2,282,104,210,232.25
5. Step 5: Solve for x
   x = 2,282,104,210,232.25/823,675.50
6. Step 6: Final answer
   x = 2,770,635.05