Finding the Third Proportional to 149,842.50 and 210,780

Step by Step Solution

1. Step 1: Write the proportion equation
   149,842.50 : 210,780 = 210,780 : x
2. Step 2: Convert to fraction form
   149,842.50/210,780 = 210,780/x
3. Step 3: Cross multiply
   149,842.50x = 210,780 × 210,780
4. Step 4: Simplify right side
   149,842.50x = 44,428,208,400
5. Step 5: Solve for x
   x = 44,428,208,400/149,842.50
6. Step 6: Final answer
   x = 296,499.38