Finding the Third Proportional to 1,064,214 and 1,565,199

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064,214 : 1,565,199 = 1,565,199 : x
2. Step 2: Convert to fraction form
   1,064,214/1,565,199 = 1,565,199/x
3. Step 3: Cross multiply
   1,064,214x = 1,565,199 × 1,565,199
4. Step 4: Simplify right side
   1,064,214x = 2,449,847,909,601
5. Step 5: Solve for x
   x = 2,449,847,909,601/1,064,214
6. Step 6: Final answer
   x = 2,302,025.64