Finding the Third Proportional to 137,865 and 221,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,865 : 221,194.50 = 221,194.50 : x
2. Step 2: Convert to fraction form
   137,865/221,194.50 = 221,194.50/x
3. Step 3: Cross multiply
   137,865x = 221,194.50 × 221,194.50
4. Step 4: Simplify right side
   137,865x = 48,927,006,830.25
5. Step 5: Solve for x
   x = 48,927,006,830.25/137,865
6. Step 6: Final answer
   x = 354,890.70