Finding the Third Proportional to 137,856 and 210,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,856 : 210,838.50 = 210,838.50 : x
2. Step 2: Convert to fraction form
   137,856/210,838.50 = 210,838.50/x
3. Step 3: Cross multiply
   137,856x = 210,838.50 × 210,838.50
4. Step 4: Simplify right side
   137,856x = 44,452,873,082.25
5. Step 5: Solve for x
   x = 44,452,873,082.25/137,856
6. Step 6: Final answer
   x = 322,458.75