Finding the Third Proportional to 582,547 and 787,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   582,547 : 787,058.50 = 787,058.50 : x
2. Step 2: Convert to fraction form
   582,547/787,058.50 = 787,058.50/x
3. Step 3: Cross multiply
   582,547x = 787,058.50 × 787,058.50
4. Step 4: Simplify right side
   582,547x = 619,461,082,422.25
5. Step 5: Solve for x
   x = 619,461,082,422.25/582,547
6. Step 6: Final answer
   x = 1,063,366.70