Finding the Third Proportional to 125,925 and 274,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,925 : 274,003.50 = 274,003.50 : x
2. Step 2: Convert to fraction form
   125,925/274,003.50 = 274,003.50/x
3. Step 3: Cross multiply
   125,925x = 274,003.50 × 274,003.50
4. Step 4: Simplify right side
   125,925x = 75,077,918,012.25
5. Step 5: Solve for x
   x = 75,077,918,012.25/125,925
6. Step 6: Final answer
   x = 596,211.38