Finding the Third Proportional to 109,496 and 152,556

Step by Step Solution

1. Step 1: Write the proportion equation
   109,496 : 152,556 = 152,556 : x
2. Step 2: Convert to fraction form
   109,496/152,556 = 152,556/x
3. Step 3: Cross multiply
   109,496x = 152,556 × 152,556
4. Step 4: Simplify right side
   109,496x = 23,273,333,136
5. Step 5: Solve for x
   x = 23,273,333,136/109,496
6. Step 6: Final answer
   x = 212,549.62