Finding the Third Proportional to 152,986 and 215,056

Step by Step Solution

1. Step 1: Write the proportion equation
   152,986 : 215,056 = 215,056 : x
2. Step 2: Convert to fraction form
   152,986/215,056 = 215,056/x
3. Step 3: Cross multiply
   152,986x = 215,056 × 215,056
4. Step 4: Simplify right side
   152,986x = 46,249,083,136
5. Step 5: Solve for x
   x = 46,249,083,136/152,986
6. Step 6: Final answer
   x = 302,309.25