Finding the Third Proportional to 456,343.50 and 709,404

Step by Step Solution

1. Step 1: Write the proportion equation
   456,343.50 : 709,404 = 709,404 : x
2. Step 2: Convert to fraction form
   456,343.50/709,404 = 709,404/x
3. Step 3: Cross multiply
   456,343.50x = 709,404 × 709,404
4. Step 4: Simplify right side
   456,343.50x = 503,254,035,216
5. Step 5: Solve for x
   x = 503,254,035,216/456,343.50
6. Step 6: Final answer
   x = 1,102,796.55