Finding the Third Proportional to 165,201 and 238,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,201 : 238,501.50 = 238,501.50 : x
2. Step 2: Convert to fraction form
   165,201/238,501.50 = 238,501.50/x
3. Step 3: Cross multiply
   165,201x = 238,501.50 × 238,501.50
4. Step 4: Simplify right side
   165,201x = 56,882,965,502.25
5. Step 5: Solve for x
   x = 56,882,965,502.25/165,201
6. Step 6: Final answer
   x = 344,325.79