Finding the Third Proportional to 61,005 and 146,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,005 : 146,785.50 = 146,785.50 : x
2. Step 2: Convert to fraction form
   61,005/146,785.50 = 146,785.50/x
3. Step 3: Cross multiply
   61,005x = 146,785.50 × 146,785.50
4. Step 4: Simplify right side
   61,005x = 21,545,983,010.25
5. Step 5: Solve for x
   x = 21,545,983,010.25/61,005
6. Step 6: Final answer
   x = 353,183.89