Finding the Third Proportional to 563,146 and 1,166,213

Step by Step Solution

1. Step 1: Write the proportion equation
   563,146 : 1,166,213 = 1,166,213 : x
2. Step 2: Convert to fraction form
   563,146/1,166,213 = 1,166,213/x
3. Step 3: Cross multiply
   563,146x = 1,166,213 × 1,166,213
4. Step 4: Simplify right side
   563,146x = 1,360,052,761,369
5. Step 5: Solve for x
   x = 1,360,052,761,369/563,146
6. Step 6: Final answer
   x = 2,415,097.97