Finding the Third Proportional to 141,582 and 214,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,582 : 214,186.50 = 214,186.50 : x
2. Step 2: Convert to fraction form
   141,582/214,186.50 = 214,186.50/x
3. Step 3: Cross multiply
   141,582x = 214,186.50 × 214,186.50
4. Step 4: Simplify right side
   141,582x = 45,875,856,782.25
5. Step 5: Solve for x
   x = 45,875,856,782.25/141,582
6. Step 6: Final answer
   x = 324,023.23