Finding the Third Proportional to 137,916 and 210,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,916 : 210,883.50 = 210,883.50 : x
2. Step 2: Convert to fraction form
   137,916/210,883.50 = 210,883.50/x
3. Step 3: Cross multiply
   137,916x = 210,883.50 × 210,883.50
4. Step 4: Simplify right side
   137,916x = 44,471,850,572.25
5. Step 5: Solve for x
   x = 44,471,850,572.25/137,916
6. Step 6: Final answer
   x = 322,456.06