Finding the Third Proportional to 107,764.50 and 234,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,764.50 : 234,182.50 = 234,182.50 : x
2. Step 2: Convert to fraction form
   107,764.50/234,182.50 = 234,182.50/x
3. Step 3: Cross multiply
   107,764.50x = 234,182.50 × 234,182.50
4. Step 4: Simplify right side
   107,764.50x = 54,841,443,306.25
5. Step 5: Solve for x
   x = 54,841,443,306.25/107,764.50
6. Step 6: Final answer
   x = 508,900.83