Finding the Third Proportional to 106,830 and 249,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,830 : 249,578.50 = 249,578.50 : x
2. Step 2: Convert to fraction form
   106,830/249,578.50 = 249,578.50/x
3. Step 3: Cross multiply
   106,830x = 249,578.50 × 249,578.50
4. Step 4: Simplify right side
   106,830x = 62,289,427,662.25
5. Step 5: Solve for x
   x = 62,289,427,662.25/106,830
6. Step 6: Final answer
   x = 583,070.56