Finding the Third Proportional to 345,607.50 and 757,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   345,607.50 : 757,642.50 = 757,642.50 : x
2. Step 2: Convert to fraction form
   345,607.50/757,642.50 = 757,642.50/x
3. Step 3: Cross multiply
   345,607.50x = 757,642.50 × 757,642.50
4. Step 4: Simplify right side
   345,607.50x = 574,022,157,806.25
5. Step 5: Solve for x
   x = 574,022,157,806.25/345,607.50
6. Step 6: Final answer
   x = 1,660,907.70