Finding the Third Proportional to 686,461.50 and 1,015,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   686,461.50 : 1,015,672.50 = 1,015,672.50 : x
2. Step 2: Convert to fraction form
   686,461.50/1,015,672.50 = 1,015,672.50/x
3. Step 3: Cross multiply
   686,461.50x = 1,015,672.50 × 1,015,672.50
4. Step 4: Simplify right side
   686,461.50x = 1,031,590,627,256.25
5. Step 5: Solve for x
   x = 1,031,590,627,256.25/686,461.50
6. Step 6: Final answer
   x = 1,502,765.45