Finding the Third Proportional to 90,846 and 137,909.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,846 : 137,909.25 = 137,909.25 : x
2. Step 2: Convert to fraction form
   90,846/137,909.25 = 137,909.25/x
3. Step 3: Cross multiply
   90,846x = 137,909.25 × 137,909.25
4. Step 4: Simplify right side
   90,846x = 19,018,961,235.56
5. Step 5: Solve for x
   x = 19,018,961,235.56/90,846
6. Step 6: Final answer
   x = 209,353.87