Finding the Third Proportional to 127,107 and 186,718.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,107 : 186,718.50 = 186,718.50 : x
2. Step 2: Convert to fraction form
   127,107/186,718.50 = 186,718.50/x
3. Step 3: Cross multiply
   127,107x = 186,718.50 × 186,718.50
4. Step 4: Simplify right side
   127,107x = 34,863,798,242.25
5. Step 5: Solve for x
   x = 34,863,798,242.25/127,107
6. Step 6: Final answer
   x = 274,287.00