Finding the Third Proportional to 152,706 and 229,077

Step by Step Solution

1. Step 1: Write the proportion equation
   152,706 : 229,077 = 229,077 : x
2. Step 2: Convert to fraction form
   152,706/229,077 = 229,077/x
3. Step 3: Cross multiply
   152,706x = 229,077 × 229,077
4. Step 4: Simplify right side
   152,706x = 52,476,271,929
5. Step 5: Solve for x
   x = 52,476,271,929/152,706
6. Step 6: Final answer
   x = 343,642.50