Finding the Third Proportional to 127,145 and 186,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,145 : 186,827.50 = 186,827.50 : x
2. Step 2: Convert to fraction form
   127,145/186,827.50 = 186,827.50/x
3. Step 3: Cross multiply
   127,145x = 186,827.50 × 186,827.50
4. Step 4: Simplify right side
   127,145x = 34,904,514,756.25
5. Step 5: Solve for x
   x = 34,904,514,756.25/127,145
6. Step 6: Final answer
   x = 274,525.26