Finding the Third Proportional to 138,152 and 214,140

Step by Step Solution

1. Step 1: Write the proportion equation
   138,152 : 214,140 = 214,140 : x
2. Step 2: Convert to fraction form
   138,152/214,140 = 214,140/x
3. Step 3: Cross multiply
   138,152x = 214,140 × 214,140
4. Step 4: Simplify right side
   138,152x = 45,855,939,600
5. Step 5: Solve for x
   x = 45,855,939,600/138,152
6. Step 6: Final answer
   x = 331,923.82