Finding the Third Proportional to 137,941.50 and 187,229

Step by Step Solution

1. Step 1: Write the proportion equation
   137,941.50 : 187,229 = 187,229 : x
2. Step 2: Convert to fraction form
   137,941.50/187,229 = 187,229/x
3. Step 3: Cross multiply
   137,941.50x = 187,229 × 187,229
4. Step 4: Simplify right side
   137,941.50x = 35,054,698,441
5. Step 5: Solve for x
   x = 35,054,698,441/137,941.50
6. Step 6: Final answer
   x = 254,127.28