Finding the Third Proportional to 157,681.50 and 238,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   157,681.50 : 238,162.50 = 238,162.50 : x
2. Step 2: Convert to fraction form
   157,681.50/238,162.50 = 238,162.50/x
3. Step 3: Cross multiply
   157,681.50x = 238,162.50 × 238,162.50
4. Step 4: Simplify right side
   157,681.50x = 56,721,376,406.25
5. Step 5: Solve for x
   x = 56,721,376,406.25/157,681.50
6. Step 6: Final answer
   x = 359,721.19