Finding the Third Proportional to 100,406 and 150,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,406 : 150,613.50 = 150,613.50 : x
2. Step 2: Convert to fraction form
   100,406/150,613.50 = 150,613.50/x
3. Step 3: Cross multiply
   100,406x = 150,613.50 × 150,613.50
4. Step 4: Simplify right side
   100,406x = 22,684,426,382.25
5. Step 5: Solve for x
   x = 22,684,426,382.25/100,406
6. Step 6: Final answer
   x = 225,927.00