Finding the Third Proportional to 261,642 and 565,106.50

Step by Step Solution

1. Step 1: Write the proportion equation
   261,642 : 565,106.50 = 565,106.50 : x
2. Step 2: Convert to fraction form
   261,642/565,106.50 = 565,106.50/x
3. Step 3: Cross multiply
   261,642x = 565,106.50 × 565,106.50
4. Step 4: Simplify right side
   261,642x = 319,345,356,342.25
5. Step 5: Solve for x
   x = 319,345,356,342.25/261,642
6. Step 6: Final answer
   x = 1,220,543.17