Finding the Third Proportional to 138,690 and 203,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,690 : 203,098.50 = 203,098.50 : x
2. Step 2: Convert to fraction form
   138,690/203,098.50 = 203,098.50/x
3. Step 3: Cross multiply
   138,690x = 203,098.50 × 203,098.50
4. Step 4: Simplify right side
   138,690x = 41,249,000,702.25
5. Step 5: Solve for x
   x = 41,249,000,702.25/138,690
6. Step 6: Final answer
   x = 297,418.71