Finding the Third Proportional to 152,416 and 237,346

Step by Step Solution

1. Step 1: Write the proportion equation
   152,416 : 237,346 = 237,346 : x
2. Step 2: Convert to fraction form
   152,416/237,346 = 237,346/x
3. Step 3: Cross multiply
   152,416x = 237,346 × 237,346
4. Step 4: Simplify right side
   152,416x = 56,333,123,716
5. Step 5: Solve for x
   x = 56,333,123,716/152,416
6. Step 6: Final answer
   x = 369,601.12