Finding the Third Proportional to 149,769 and 325,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,769 : 325,777.50 = 325,777.50 : x
2. Step 2: Convert to fraction form
   149,769/325,777.50 = 325,777.50/x
3. Step 3: Cross multiply
   149,769x = 325,777.50 × 325,777.50
4. Step 4: Simplify right side
   149,769x = 106,130,979,506.25
5. Step 5: Solve for x
   x = 106,130,979,506.25/149,769
6. Step 6: Final answer
   x = 708,631.16