Finding the Third Proportional to 256,159.50 and 382,158

Step by Step Solution

1. Step 1: Write the proportion equation
   256,159.50 : 382,158 = 382,158 : x
2. Step 2: Convert to fraction form
   256,159.50/382,158 = 382,158/x
3. Step 3: Cross multiply
   256,159.50x = 382,158 × 382,158
4. Step 4: Simplify right side
   256,159.50x = 146,044,736,964
5. Step 5: Solve for x
   x = 146,044,736,964/256,159.50
6. Step 6: Final answer
   x = 570,132.03