Finding the Third Proportional to 125,277 and 193,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   125,277 : 193,894.50 = 193,894.50 : x
2. Step 2: Convert to fraction form
   125,277/193,894.50 = 193,894.50/x
3. Step 3: Cross multiply
   125,277x = 193,894.50 × 193,894.50
4. Step 4: Simplify right side
   125,277x = 37,595,077,130.25
5. Step 5: Solve for x
   x = 37,595,077,130.25/125,277
6. Step 6: Final answer
   x = 300,095.61