Finding the Third Proportional to 149,833.50 and 210,768

Step by Step Solution

1. Step 1: Write the proportion equation
   149,833.50 : 210,768 = 210,768 : x
2. Step 2: Convert to fraction form
   149,833.50/210,768 = 210,768/x
3. Step 3: Cross multiply
   149,833.50x = 210,768 × 210,768
4. Step 4: Simplify right side
   149,833.50x = 44,423,149,824
5. Step 5: Solve for x
   x = 44,423,149,824/149,833.50
6. Step 6: Final answer
   x = 296,483.43