Finding the Third Proportional to 611,456 and 830,342

Step by Step Solution

1. Step 1: Write the proportion equation
   611,456 : 830,342 = 830,342 : x
2. Step 2: Convert to fraction form
   611,456/830,342 = 830,342/x
3. Step 3: Cross multiply
   611,456x = 830,342 × 830,342
4. Step 4: Simplify right side
   611,456x = 689,467,836,964
5. Step 5: Solve for x
   x = 689,467,836,964/611,456
6. Step 6: Final answer
   x = 1,127,583.73