Finding the Third Proportional to 127,581 and 271,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,581 : 271,291.50 = 271,291.50 : x
2. Step 2: Convert to fraction form
   127,581/271,291.50 = 271,291.50/x
3. Step 3: Cross multiply
   127,581x = 271,291.50 × 271,291.50
4. Step 4: Simplify right side
   127,581x = 73,599,077,972.25
5. Step 5: Solve for x
   x = 73,599,077,972.25/127,581
6. Step 6: Final answer
   x = 576,881.18