Finding the Third Proportional to 233,724 and 502,357.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,724 : 502,357.50 = 502,357.50 : x
2. Step 2: Convert to fraction form
   233,724/502,357.50 = 502,357.50/x
3. Step 3: Cross multiply
   233,724x = 502,357.50 × 502,357.50
4. Step 4: Simplify right side
   233,724x = 252,363,057,806.25
5. Step 5: Solve for x
   x = 252,363,057,806.25/233,724
6. Step 6: Final answer
   x = 1,079,748.16