Finding the Third Proportional to 91,585 and 145,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,585 : 145,297.50 = 145,297.50 : x
2. Step 2: Convert to fraction form
   91,585/145,297.50 = 145,297.50/x
3. Step 3: Cross multiply
   91,585x = 145,297.50 × 145,297.50
4. Step 4: Simplify right side
   91,585x = 21,111,363,506.25
5. Step 5: Solve for x
   x = 21,111,363,506.25/91,585
6. Step 6: Final answer
   x = 230,511.15