Finding the Third Proportional to 102,261.50 and 238,840

Step by Step Solution

1. Step 1: Write the proportion equation
   102,261.50 : 238,840 = 238,840 : x
2. Step 2: Convert to fraction form
   102,261.50/238,840 = 238,840/x
3. Step 3: Cross multiply
   102,261.50x = 238,840 × 238,840
4. Step 4: Simplify right side
   102,261.50x = 57,044,545,600
5. Step 5: Solve for x
   x = 57,044,545,600/102,261.50
6. Step 6: Final answer
   x = 557,830.13