Finding the Third Proportional to 147,785.50 and 229,302.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,785.50 : 229,302.50 = 229,302.50 : x
2. Step 2: Convert to fraction form
   147,785.50/229,302.50 = 229,302.50/x
3. Step 3: Cross multiply
   147,785.50x = 229,302.50 × 229,302.50
4. Step 4: Simplify right side
   147,785.50x = 52,579,636,506.25
5. Step 5: Solve for x
   x = 52,579,636,506.25/147,785.50
6. Step 6: Final answer
   x = 355,783.46