Finding the Third Proportional to 345,064 and 731,634

Step by Step Solution

1. Step 1: Write the proportion equation
   345,064 : 731,634 = 731,634 : x
2. Step 2: Convert to fraction form
   345,064/731,634 = 731,634/x
3. Step 3: Cross multiply
   345,064x = 731,634 × 731,634
4. Step 4: Simplify right side
   345,064x = 535,288,309,956
5. Step 5: Solve for x
   x = 535,288,309,956/345,064
6. Step 6: Final answer
   x = 1,551,272.55