Finding the Third Proportional to 137,875 and 221,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,875 : 221,209.50 = 221,209.50 : x
2. Step 2: Convert to fraction form
   137,875/221,209.50 = 221,209.50/x
3. Step 3: Cross multiply
   137,875x = 221,209.50 × 221,209.50
4. Step 4: Simplify right side
   137,875x = 48,933,642,890.25
5. Step 5: Solve for x
   x = 48,933,642,890.25/137,875
6. Step 6: Final answer
   x = 354,913.09