Finding the Third Proportional to 100,362 and 137,617.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,362 : 137,617.50 = 137,617.50 : x
2. Step 2: Convert to fraction form
   100,362/137,617.50 = 137,617.50/x
3. Step 3: Cross multiply
   100,362x = 137,617.50 × 137,617.50
4. Step 4: Simplify right side
   100,362x = 18,938,576,306.25
5. Step 5: Solve for x
   x = 18,938,576,306.25/100,362
6. Step 6: Final answer
   x = 188,702.66