Finding the Third Proportional to 149,853 and 210,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,853 : 210,793.50 = 210,793.50 : x
2. Step 2: Convert to fraction form
   149,853/210,793.50 = 210,793.50/x
3. Step 3: Cross multiply
   149,853x = 210,793.50 × 210,793.50
4. Step 4: Simplify right side
   149,853x = 44,433,899,642.25
5. Step 5: Solve for x
   x = 44,433,899,642.25/149,853
6. Step 6: Final answer
   x = 296,516.58