Finding the Third Proportional to 156,784 and 238,458

Step by Step Solution

1. Step 1: Write the proportion equation
   156,784 : 238,458 = 238,458 : x
2. Step 2: Convert to fraction form
   156,784/238,458 = 238,458/x
3. Step 3: Cross multiply
   156,784x = 238,458 × 238,458
4. Step 4: Simplify right side
   156,784x = 56,862,217,764
5. Step 5: Solve for x
   x = 56,862,217,764/156,784
6. Step 6: Final answer
   x = 362,678.70