Finding the Third Proportional to 152,164 and 237,458

Step by Step Solution

1. Step 1: Write the proportion equation
   152,164 : 237,458 = 237,458 : x
2. Step 2: Convert to fraction form
   152,164/237,458 = 237,458/x
3. Step 3: Cross multiply
   152,164x = 237,458 × 237,458
4. Step 4: Simplify right side
   152,164x = 56,386,301,764
5. Step 5: Solve for x
   x = 56,386,301,764/152,164
6. Step 6: Final answer
   x = 370,562.69