Finding the Third Proportional to 149,362.50 and 322,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,362.50 : 322,498.50 = 322,498.50 : x
2. Step 2: Convert to fraction form
   149,362.50/322,498.50 = 322,498.50/x
3. Step 3: Cross multiply
   149,362.50x = 322,498.50 × 322,498.50
4. Step 4: Simplify right side
   149,362.50x = 104,005,282,502.25
5. Step 5: Solve for x
   x = 104,005,282,502.25/149,362.50
6. Step 6: Final answer
   x = 696,327.94