Finding the Third Proportional to 152,264 and 216,416

Step by Step Solution

1. Step 1: Write the proportion equation
   152,264 : 216,416 = 216,416 : x
2. Step 2: Convert to fraction form
   152,264/216,416 = 216,416/x
3. Step 3: Cross multiply
   152,264x = 216,416 × 216,416
4. Step 4: Simplify right side
   152,264x = 46,835,885,056
5. Step 5: Solve for x
   x = 46,835,885,056/152,264
6. Step 6: Final answer
   x = 307,596.58