Finding the Third Proportional to 153,588 and 229,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,588 : 229,198.50 = 229,198.50 : x
2. Step 2: Convert to fraction form
   153,588/229,198.50 = 229,198.50/x
3. Step 3: Cross multiply
   153,588x = 229,198.50 × 229,198.50
4. Step 4: Simplify right side
   153,588x = 52,531,952,402.25
5. Step 5: Solve for x
   x = 52,531,952,402.25/153,588
6. Step 6: Final answer
   x = 342,031.62