Finding the Third Proportional to 127,894.50 and 269,046

Step by Step Solution

1. Step 1: Write the proportion equation
   127,894.50 : 269,046 = 269,046 : x
2. Step 2: Convert to fraction form
   127,894.50/269,046 = 269,046/x
3. Step 3: Cross multiply
   127,894.50x = 269,046 × 269,046
4. Step 4: Simplify right side
   127,894.50x = 72,385,750,116
5. Step 5: Solve for x
   x = 72,385,750,116/127,894.50
6. Step 6: Final answer
   x = 565,980.16