Finding the Third Proportional to 152,696 and 228,342

Step by Step Solution

1. Step 1: Write the proportion equation
   152,696 : 228,342 = 228,342 : x
2. Step 2: Convert to fraction form
   152,696/228,342 = 228,342/x
3. Step 3: Cross multiply
   152,696x = 228,342 × 228,342
4. Step 4: Simplify right side
   152,696x = 52,140,068,964
5. Step 5: Solve for x
   x = 52,140,068,964/152,696
6. Step 6: Final answer
   x = 341,463.23