Finding the Third Proportional to 100,871 and 151,741.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,871 : 151,741.50 = 151,741.50 : x
2. Step 2: Convert to fraction form
   100,871/151,741.50 = 151,741.50/x
3. Step 3: Cross multiply
   100,871x = 151,741.50 × 151,741.50
4. Step 4: Simplify right side
   100,871x = 23,025,482,822.25
5. Step 5: Solve for x
   x = 23,025,482,822.25/100,871
6. Step 6: Final answer
   x = 228,266.63