Finding the Third Proportional to 148,022.50 and 325,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,022.50 : 325,569.50 = 325,569.50 : x
2. Step 2: Convert to fraction form
   148,022.50/325,569.50 = 325,569.50/x
3. Step 3: Cross multiply
   148,022.50x = 325,569.50 × 325,569.50
4. Step 4: Simplify right side
   148,022.50x = 105,995,499,330.25
5. Step 5: Solve for x
   x = 105,995,499,330.25/148,022.50
6. Step 6: Final answer
   x = 716,076.94