Finding the Third Proportional to 151,233 and 205,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   151,233 : 205,513.50 = 205,513.50 : x
2. Step 2: Convert to fraction form
   151,233/205,513.50 = 205,513.50/x
3. Step 3: Cross multiply
   151,233x = 205,513.50 × 205,513.50
4. Step 4: Simplify right side
   151,233x = 42,235,798,682.25
5. Step 5: Solve for x
   x = 42,235,798,682.25/151,233
6. Step 6: Final answer
   x = 279,276.34