Finding the Third Proportional to 350,342 and 766,111

Step by Step Solution

1. Step 1: Write the proportion equation
   350,342 : 766,111 = 766,111 : x
2. Step 2: Convert to fraction form
   350,342/766,111 = 766,111/x
3. Step 3: Cross multiply
   350,342x = 766,111 × 766,111
4. Step 4: Simplify right side
   350,342x = 586,926,064,321
5. Step 5: Solve for x
   x = 586,926,064,321/350,342
6. Step 6: Final answer
   x = 1,675,294.61