Finding the Third Proportional to 147,784 and 229,300

Step by Step Solution

1. Step 1: Write the proportion equation
   147,784 : 229,300 = 229,300 : x
2. Step 2: Convert to fraction form
   147,784/229,300 = 229,300/x
3. Step 3: Cross multiply
   147,784x = 229,300 × 229,300
4. Step 4: Simplify right side
   147,784x = 52,578,490,000
5. Step 5: Solve for x
   x = 52,578,490,000/147,784
6. Step 6: Final answer
   x = 355,779.31