Finding the Third Proportional to 165,762 and 250,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,762 : 250,021.50 = 250,021.50 : x
2. Step 2: Convert to fraction form
   165,762/250,021.50 = 250,021.50/x
3. Step 3: Cross multiply
   165,762x = 250,021.50 × 250,021.50
4. Step 4: Simplify right side
   165,762x = 62,510,750,462.25
5. Step 5: Solve for x
   x = 62,510,750,462.25/165,762
6. Step 6: Final answer
   x = 377,111.46