Finding the Third Proportional to 100,874.50 and 151,747

Step by Step Solution

1. Step 1: Write the proportion equation
   100,874.50 : 151,747 = 151,747 : x
2. Step 2: Convert to fraction form
   100,874.50/151,747 = 151,747/x
3. Step 3: Cross multiply
   100,874.50x = 151,747 × 151,747
4. Step 4: Simplify right side
   100,874.50x = 23,027,152,009
5. Step 5: Solve for x
   x = 23,027,152,009/100,874.50
6. Step 6: Final answer
   x = 228,275.25