Finding the Third Proportional to 106,182 and 233,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,182 : 233,347.50 = 233,347.50 : x
2. Step 2: Convert to fraction form
   106,182/233,347.50 = 233,347.50/x
3. Step 3: Cross multiply
   106,182x = 233,347.50 × 233,347.50
4. Step 4: Simplify right side
   106,182x = 54,451,055,756.25
5. Step 5: Solve for x
   x = 54,451,055,756.25/106,182
6. Step 6: Final answer
   x = 512,808.72