Finding the Third Proportional to 102,738 and 151,336.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,738 : 151,336.50 = 151,336.50 : x
2. Step 2: Convert to fraction form
   102,738/151,336.50 = 151,336.50/x
3. Step 3: Cross multiply
   102,738x = 151,336.50 × 151,336.50
4. Step 4: Simplify right side
   102,738x = 22,902,736,232.25
5. Step 5: Solve for x
   x = 22,902,736,232.25/102,738
6. Step 6: Final answer
   x = 222,923.71