Finding the Third Proportional to 588,516 and 832,978

Step by Step Solution

1. Step 1: Write the proportion equation
   588,516 : 832,978 = 832,978 : x
2. Step 2: Convert to fraction form
   588,516/832,978 = 832,978/x
3. Step 3: Cross multiply
   588,516x = 832,978 × 832,978
4. Step 4: Simplify right side
   588,516x = 693,852,348,484
5. Step 5: Solve for x
   x = 693,852,348,484/588,516
6. Step 6: Final answer
   x = 1,178,986.38