Finding the Third Proportional to 125,559 and 186,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,559 : 186,166.50 = 186,166.50 : x
2. Step 2: Convert to fraction form
   125,559/186,166.50 = 186,166.50/x
3. Step 3: Cross multiply
   125,559x = 186,166.50 × 186,166.50
4. Step 4: Simplify right side
   125,559x = 34,657,965,722.25
5. Step 5: Solve for x
   x = 34,657,965,722.25/125,559
6. Step 6: Final answer
   x = 276,029.32