Finding the Third Proportional to 152,300 and 223,254

Step by Step Solution

1. Step 1: Write the proportion equation
   152,300 : 223,254 = 223,254 : x
2. Step 2: Convert to fraction form
   152,300/223,254 = 223,254/x
3. Step 3: Cross multiply
   152,300x = 223,254 × 223,254
4. Step 4: Simplify right side
   152,300x = 49,842,348,516
5. Step 5: Solve for x
   x = 49,842,348,516/152,300
6. Step 6: Final answer
   x = 327,264.27