Finding the Third Proportional to 523,008 and 783,810

Step by Step Solution

1. Step 1: Write the proportion equation
   523,008 : 783,810 = 783,810 : x
2. Step 2: Convert to fraction form
   523,008/783,810 = 783,810/x
3. Step 3: Cross multiply
   523,008x = 783,810 × 783,810
4. Step 4: Simplify right side
   523,008x = 614,358,116,100
5. Step 5: Solve for x
   x = 614,358,116,100/523,008
6. Step 6: Final answer
   x = 1,174,662.94