Finding the Third Proportional to 412,875 and 581,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,875 : 581,422.50 = 581,422.50 : x
2. Step 2: Convert to fraction form
   412,875/581,422.50 = 581,422.50/x
3. Step 3: Cross multiply
   412,875x = 581,422.50 × 581,422.50
4. Step 4: Simplify right side
   412,875x = 338,052,123,506.25
5. Step 5: Solve for x
   x = 338,052,123,506.25/412,875
6. Step 6: Final answer
   x = 818,775.96