Finding the Third Proportional to 137,185.50 and 206,143.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,185.50 : 206,143.50 = 206,143.50 : x
2. Step 2: Convert to fraction form
   137,185.50/206,143.50 = 206,143.50/x
3. Step 3: Cross multiply
   137,185.50x = 206,143.50 × 206,143.50
4. Step 4: Simplify right side
   137,185.50x = 42,495,142,592.25
5. Step 5: Solve for x
   x = 42,495,142,592.25/137,185.50
6. Step 6: Final answer
   x = 309,764.10