Finding the Third Proportional to 103,689 and 153,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,689 : 153,345.50 = 153,345.50 : x
2. Step 2: Convert to fraction form
   103,689/153,345.50 = 153,345.50/x
3. Step 3: Cross multiply
   103,689x = 153,345.50 × 153,345.50
4. Step 4: Simplify right side
   103,689x = 23,514,842,370.25
5. Step 5: Solve for x
   x = 23,514,842,370.25/103,689
6. Step 6: Final answer
   x = 226,782.42