Finding the Third Proportional to 103,023 and 147,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,023 : 147,046.50 = 147,046.50 : x
2. Step 2: Convert to fraction form
   103,023/147,046.50 = 147,046.50/x
3. Step 3: Cross multiply
   103,023x = 147,046.50 × 147,046.50
4. Step 4: Simplify right side
   103,023x = 21,622,673,162.25
5. Step 5: Solve for x
   x = 21,622,673,162.25/103,023
6. Step 6: Final answer
   x = 209,882.00