Finding the Third Proportional to 122,593.50 and 209,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,593.50 : 209,641.50 = 209,641.50 : x
2. Step 2: Convert to fraction form
   122,593.50/209,641.50 = 209,641.50/x
3. Step 3: Cross multiply
   122,593.50x = 209,641.50 × 209,641.50
4. Step 4: Simplify right side
   122,593.50x = 43,949,558,522.25
5. Step 5: Solve for x
   x = 43,949,558,522.25/122,593.50
6. Step 6: Final answer
   x = 358,498.28