Finding the Third Proportional to 138,804 and 188,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,804 : 188,098.50 = 188,098.50 : x
2. Step 2: Convert to fraction form
   138,804/188,098.50 = 188,098.50/x
3. Step 3: Cross multiply
   138,804x = 188,098.50 × 188,098.50
4. Step 4: Simplify right side
   138,804x = 35,381,045,702.25
5. Step 5: Solve for x
   x = 35,381,045,702.25/138,804
6. Step 6: Final answer
   x = 254,899.32