Finding the Third Proportional to 127,089 and 271,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,089 : 271,066.50 = 271,066.50 : x
2. Step 2: Convert to fraction form
   127,089/271,066.50 = 271,066.50/x
3. Step 3: Cross multiply
   127,089x = 271,066.50 × 271,066.50
4. Step 4: Simplify right side
   127,089x = 73,477,047,422.25
5. Step 5: Solve for x
   x = 73,477,047,422.25/127,089
6. Step 6: Final answer
   x = 578,154.27