Finding the Third Proportional to 100,875 and 151,747.75

Step by Step Solution

1. Step 1: Write the proportion equation
   100,875 : 151,747.75 = 151,747.75 : x
2. Step 2: Convert to fraction form
   100,875/151,747.75 = 151,747.75/x
3. Step 3: Cross multiply
   100,875x = 151,747.75 × 151,747.75
4. Step 4: Simplify right side
   100,875x = 23,027,379,630.06
5. Step 5: Solve for x
   x = 23,027,379,630.06/100,875
6. Step 6: Final answer
   x = 228,276.38