Finding the Third Proportional to 137,898 and 210,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,898 : 210,856.50 = 210,856.50 : x
2. Step 2: Convert to fraction form
   137,898/210,856.50 = 210,856.50/x
3. Step 3: Cross multiply
   137,898x = 210,856.50 × 210,856.50
4. Step 4: Simplify right side
   137,898x = 44,460,463,592.25
5. Step 5: Solve for x
   x = 44,460,463,592.25/137,898
6. Step 6: Final answer
   x = 322,415.58