Finding the Third Proportional to 137,944 and 185,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,944 : 185,372.50 = 185,372.50 : x
2. Step 2: Convert to fraction form
   137,944/185,372.50 = 185,372.50/x
3. Step 3: Cross multiply
   137,944x = 185,372.50 × 185,372.50
4. Step 4: Simplify right side
   137,944x = 34,362,963,756.25
5. Step 5: Solve for x
   x = 34,362,963,756.25/137,944
6. Step 6: Final answer
   x = 249,108.07