Finding the Third Proportional to 214,542 and 471,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   214,542 : 471,109.50 = 471,109.50 : x
2. Step 2: Convert to fraction form
   214,542/471,109.50 = 471,109.50/x
3. Step 3: Cross multiply
   214,542x = 471,109.50 × 471,109.50
4. Step 4: Simplify right side
   214,542x = 221,944,160,990.25
5. Step 5: Solve for x
   x = 221,944,160,990.25/214,542
6. Step 6: Final answer
   x = 1,034,502.15