Finding the Third Proportional to 147,782.50 and 229,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,782.50 : 229,297.50 = 229,297.50 : x
2. Step 2: Convert to fraction form
   147,782.50/229,297.50 = 229,297.50/x
3. Step 3: Cross multiply
   147,782.50x = 229,297.50 × 229,297.50
4. Step 4: Simplify right side
   147,782.50x = 52,577,343,506.25
5. Step 5: Solve for x
   x = 52,577,343,506.25/147,782.50
6. Step 6: Final answer
   x = 355,775.17