Finding the Third Proportional to 122,017.50 and 182,376

Step by Step Solution

1. Step 1: Write the proportion equation
   122,017.50 : 182,376 = 182,376 : x
2. Step 2: Convert to fraction form
   122,017.50/182,376 = 182,376/x
3. Step 3: Cross multiply
   122,017.50x = 182,376 × 182,376
4. Step 4: Simplify right side
   122,017.50x = 33,261,005,376
5. Step 5: Solve for x
   x = 33,261,005,376/122,017.50
6. Step 6: Final answer
   x = 272,592.09