Finding the Third Proportional to 120,456 and 186,516

Step by Step Solution

1. Step 1: Write the proportion equation
   120,456 : 186,516 = 186,516 : x
2. Step 2: Convert to fraction form
   120,456/186,516 = 186,516/x
3. Step 3: Cross multiply
   120,456x = 186,516 × 186,516
4. Step 4: Simplify right side
   120,456x = 34,788,218,256
5. Step 5: Solve for x
   x = 34,788,218,256/120,456
6. Step 6: Final answer
   x = 288,804.36