Finding the Third Proportional to 147,784.50 and 229,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,784.50 : 229,300.50 = 229,300.50 : x
2. Step 2: Convert to fraction form
   147,784.50/229,300.50 = 229,300.50/x
3. Step 3: Cross multiply
   147,784.50x = 229,300.50 × 229,300.50
4. Step 4: Simplify right side
   147,784.50x = 52,578,719,300.25
5. Step 5: Solve for x
   x = 52,578,719,300.25/147,784.50
6. Step 6: Final answer
   x = 355,779.66