Finding the Third Proportional to 106,591.75 and 229,312

Step by Step Solution

1. Step 1: Write the proportion equation
   106,591.75 : 229,312 = 229,312 : x
2. Step 2: Convert to fraction form
   106,591.75/229,312 = 229,312/x
3. Step 3: Cross multiply
   106,591.75x = 229,312 × 229,312
4. Step 4: Simplify right side
   106,591.75x = 52,583,993,344
5. Step 5: Solve for x
   x = 52,583,993,344/106,591.75
6. Step 6: Final answer
   x = 493,321.42