Finding the Third Proportional to 107,523 and 150,385

Step by Step Solution

1. Step 1: Write the proportion equation
   107,523 : 150,385 = 150,385 : x
2. Step 2: Convert to fraction form
   107,523/150,385 = 150,385/x
3. Step 3: Cross multiply
   107,523x = 150,385 × 150,385
4. Step 4: Simplify right side
   107,523x = 22,615,648,225
5. Step 5: Solve for x
   x = 22,615,648,225/107,523
6. Step 6: Final answer
   x = 210,333.12