Finding the Third Proportional to 120,415 and 187,516

Step by Step Solution

1. Step 1: Write the proportion equation
   120,415 : 187,516 = 187,516 : x
2. Step 2: Convert to fraction form
   120,415/187,516 = 187,516/x
3. Step 3: Cross multiply
   120,415x = 187,516 × 187,516
4. Step 4: Simplify right side
   120,415x = 35,162,250,256
5. Step 5: Solve for x
   x = 35,162,250,256/120,415
6. Step 6: Final answer
   x = 292,008.89