Finding the Third Proportional to 100,948 and 151,664.75

Step by Step Solution

1. Step 1: Write the proportion equation
   100,948 : 151,664.75 = 151,664.75 : x
2. Step 2: Convert to fraction form
   100,948/151,664.75 = 151,664.75/x
3. Step 3: Cross multiply
   100,948x = 151,664.75 × 151,664.75
4. Step 4: Simplify right side
   100,948x = 23,002,196,392.56
5. Step 5: Solve for x
   x = 23,002,196,392.56/100,948
6. Step 6: Final answer
   x = 227,861.83