Finding the Third Proportional to 127,143 and 186,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,143 : 186,772.50 = 186,772.50 : x
2. Step 2: Convert to fraction form
   127,143/186,772.50 = 186,772.50/x
3. Step 3: Cross multiply
   127,143x = 186,772.50 × 186,772.50
4. Step 4: Simplify right side
   127,143x = 34,883,966,756.25
5. Step 5: Solve for x
   x = 34,883,966,756.25/127,143
6. Step 6: Final answer
   x = 274,367.97