Finding the Third Proportional to 101,634 and 150,976.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,634 : 150,976.50 = 150,976.50 : x
2. Step 2: Convert to fraction form
   101,634/150,976.50 = 150,976.50/x
3. Step 3: Cross multiply
   101,634x = 150,976.50 × 150,976.50
4. Step 4: Simplify right side
   101,634x = 22,793,903,552.25
5. Step 5: Solve for x
   x = 22,793,903,552.25/101,634
6. Step 6: Final answer
   x = 224,274.39