Finding the Third Proportional to 149,793 and 210,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,793 : 210,694.50 = 210,694.50 : x
2. Step 2: Convert to fraction form
   149,793/210,694.50 = 210,694.50/x
3. Step 3: Cross multiply
   149,793x = 210,694.50 × 210,694.50
4. Step 4: Simplify right side
   149,793x = 44,392,172,330.25
5. Step 5: Solve for x
   x = 44,392,172,330.25/149,793
6. Step 6: Final answer
   x = 296,356.79