Finding the Third Proportional to 176,335.50 and 257,118

Step by Step Solution

1. Step 1: Write the proportion equation
   176,335.50 : 257,118 = 257,118 : x
2. Step 2: Convert to fraction form
   176,335.50/257,118 = 257,118/x
3. Step 3: Cross multiply
   176,335.50x = 257,118 × 257,118
4. Step 4: Simplify right side
   176,335.50x = 66,109,665,924
5. Step 5: Solve for x
   x = 66,109,665,924/176,335.50
6. Step 6: Final answer
   x = 374,908.43