Finding the Third Proportional to 46,138 and 100,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,138 : 100,613.50 = 100,613.50 : x
2. Step 2: Convert to fraction form
   46,138/100,613.50 = 100,613.50/x
3. Step 3: Cross multiply
   46,138x = 100,613.50 × 100,613.50
4. Step 4: Simplify right side
   46,138x = 10,123,076,382.25
5. Step 5: Solve for x
   x = 10,123,076,382.25/46,138
6. Step 6: Final answer
   x = 219,408.65