Finding the Third Proportional to 345,140 and 707,008

Step by Step Solution

1. Step 1: Write the proportion equation
   345,140 : 707,008 = 707,008 : x
2. Step 2: Convert to fraction form
   345,140/707,008 = 707,008/x
3. Step 3: Cross multiply
   345,140x = 707,008 × 707,008
4. Step 4: Simplify right side
   345,140x = 499,860,312,064
5. Step 5: Solve for x
   x = 499,860,312,064/345,140
6. Step 6: Final answer
   x = 1,448,282.76