Finding the Third Proportional to 52,409.50 and 116,429

Step by Step Solution

1. Step 1: Write the proportion equation
   52,409.50 : 116,429 = 116,429 : x
2. Step 2: Convert to fraction form
   52,409.50/116,429 = 116,429/x
3. Step 3: Cross multiply
   52,409.50x = 116,429 × 116,429
4. Step 4: Simplify right side
   52,409.50x = 13,555,712,041
5. Step 5: Solve for x
   x = 13,555,712,041/52,409.50
6. Step 6: Final answer
   x = 258,649.90