Finding the Third Proportional to 147,870 and 231,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,870 : 231,664.50 = 231,664.50 : x
2. Step 2: Convert to fraction form
   147,870/231,664.50 = 231,664.50/x
3. Step 3: Cross multiply
   147,870x = 231,664.50 × 231,664.50
4. Step 4: Simplify right side
   147,870x = 53,668,440,560.25
5. Step 5: Solve for x
   x = 53,668,440,560.25/147,870
6. Step 6: Final answer
   x = 362,943.40