Finding the Third Proportional to 260,826 and 556,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,826 : 556,102.50 = 556,102.50 : x
2. Step 2: Convert to fraction form
   260,826/556,102.50 = 556,102.50/x
3. Step 3: Cross multiply
   260,826x = 556,102.50 × 556,102.50
4. Step 4: Simplify right side
   260,826x = 309,249,990,506.25
5. Step 5: Solve for x
   x = 309,249,990,506.25/260,826
6. Step 6: Final answer
   x = 1,185,656.30