Finding the Third Proportional to 260,178 and 567,508.50

Step by Step Solution

1. Step 1: Write the proportion equation
   260,178 : 567,508.50 = 567,508.50 : x
2. Step 2: Convert to fraction form
   260,178/567,508.50 = 567,508.50/x
3. Step 3: Cross multiply
   260,178x = 567,508.50 × 567,508.50
4. Step 4: Simplify right side
   260,178x = 322,065,897,572.25
5. Step 5: Solve for x
   x = 322,065,897,572.25/260,178
6. Step 6: Final answer
   x = 1,237,867.53