Finding the Third Proportional to 814,032 and 1,196,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   814,032 : 1,196,662.50 = 1,196,662.50 : x
2. Step 2: Convert to fraction form
   814,032/1,196,662.50 = 1,196,662.50/x
3. Step 3: Cross multiply
   814,032x = 1,196,662.50 × 1,196,662.50
4. Step 4: Simplify right side
   814,032x = 1,432,001,138,906.25
5. Step 5: Solve for x
   x = 1,432,001,138,906.25/814,032
6. Step 6: Final answer
   x = 1,759,146.00