Finding the Third Proportional to 137,655 and 200,491.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,655 : 200,491.50 = 200,491.50 : x
2. Step 2: Convert to fraction form
   137,655/200,491.50 = 200,491.50/x
3. Step 3: Cross multiply
   137,655x = 200,491.50 × 200,491.50
4. Step 4: Simplify right side
   137,655x = 40,196,841,572.25
5. Step 5: Solve for x
   x = 40,196,841,572.25/137,655
6. Step 6: Final answer
   x = 292,011.49