Finding the Third Proportional to 149,629 and 249,355.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,629 : 249,355.50 = 249,355.50 : x
2. Step 2: Convert to fraction form
   149,629/249,355.50 = 249,355.50/x
3. Step 3: Cross multiply
   149,629x = 249,355.50 × 249,355.50
4. Step 4: Simplify right side
   149,629x = 62,178,165,380.25
5. Step 5: Solve for x
   x = 62,178,165,380.25/149,629
6. Step 6: Final answer
   x = 415,548.89