Finding the Third Proportional to 127,323.50 and 265,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,323.50 : 265,106.50 = 265,106.50 : x
2. Step 2: Convert to fraction form
   127,323.50/265,106.50 = 265,106.50/x
3. Step 3: Cross multiply
   127,323.50x = 265,106.50 × 265,106.50
4. Step 4: Simplify right side
   127,323.50x = 70,281,456,342.25
5. Step 5: Solve for x
   x = 70,281,456,342.25/127,323.50
6. Step 6: Final answer
   x = 551,991.24