Finding the Third Proportional to 135,630 and 200,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,630 : 200,680.50 = 200,680.50 : x
2. Step 2: Convert to fraction form
   135,630/200,680.50 = 200,680.50/x
3. Step 3: Cross multiply
   135,630x = 200,680.50 × 200,680.50
4. Step 4: Simplify right side
   135,630x = 40,272,663,080.25
5. Step 5: Solve for x
   x = 40,272,663,080.25/135,630
6. Step 6: Final answer
   x = 296,930.35