Finding the Third Proportional to 106,834.75 and 233,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,834.75 : 233,514.50 = 233,514.50 : x
2. Step 2: Convert to fraction form
   106,834.75/233,514.50 = 233,514.50/x
3. Step 3: Cross multiply
   106,834.75x = 233,514.50 × 233,514.50
4. Step 4: Simplify right side
   106,834.75x = 54,529,021,710.25
5. Step 5: Solve for x
   x = 54,529,021,710.25/106,834.75
6. Step 6: Final answer
   x = 510,405.29