Finding the Third Proportional to 123,117.50 and 269,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,117.50 : 269,590.50 = 269,590.50 : x
2. Step 2: Convert to fraction form
   123,117.50/269,590.50 = 269,590.50/x
3. Step 3: Cross multiply
   123,117.50x = 269,590.50 × 269,590.50
4. Step 4: Simplify right side
   123,117.50x = 72,679,037,690.25
5. Step 5: Solve for x
   x = 72,679,037,690.25/123,117.50
6. Step 6: Final answer
   x = 590,322.56