Finding the Third Proportional to 766,665 and 1,680,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   766,665 : 1,680,952.50 = 1,680,952.50 : x
2. Step 2: Convert to fraction form
   766,665/1,680,952.50 = 1,680,952.50/x
3. Step 3: Cross multiply
   766,665x = 1,680,952.50 × 1,680,952.50
4. Step 4: Simplify right side
   766,665x = 2,825,601,307,256.25
5. Step 5: Solve for x
   x = 2,825,601,307,256.25/766,665
6. Step 6: Final answer
   x = 3,685,574.93